Number

1,974

1,974 is a composite number, even, a calendar year.

1,974 (one thousand nine hundred seventy-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 47. Its proper divisors sum to 2,634, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCMLXXIV and in binary, 11110110110.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number Squarefree Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,962 1,963 1,964 1,965 1,966 1,967 1,968 1,969 1,970 1,971 1,972 1,973 1,974 1,975 1,976 1,977 1,978 1,979 1,980 1,981 1,982 1,983 1,984 1,985 1,986

less more

Notable events — 1974 AD

Apr 25 The Carnation Revolution ends 48 years of dictatorship in Portugal.
May 18 India detonates its first nuclear device (Smiling Buddha).
Jul 20 Turkey invades Cyprus.
Aug 8 Richard Nixon announces his resignation over the Watergate scandal.
Aug 9 Gerald Ford is sworn in as US president.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Tuesday
January 1, 1974
Ended on: Tuesday
December 31, 1974
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 14
Sunday, April 14, 1974
Decade: 1970s
1970–1979
Century: 20th century
1901–2000
Millennium: 2nd millennium
1001–2000
Years ago: 52
52 years before 2026.
FIFA World Cup: Yes
Men's FIFA World Cup is held every four years (skipped 1942 and 1946 due to WWII).

In other calendars

Hebrew: 5734 / 5735 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1393 / 1394 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2517 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1352 / 1353 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1966 / 1967 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1896 / 1895 Saka
Indian national calendar; year starts in March.
Japanese: Shōwa 49
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 21
Digit product: 252
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 4,791
Recamán's sequence: a(3,803) = 1,974
Square (n²): 3,896,676
Cube (n³): 7,692,038,424
Divisor count: 16
σ(n) — sum of divisors: 4,608
φ(n) — Euler's totient: 552
Sum of prime factors: 59

Primality

Prime factorization: 2 × 3 × 7 × 47

Nearest primes: 1,973 (−1) · 1,979 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 47 · 94 · 141 · 282 · 329 · 658 · 987 (half) · 1974

Aliquot sum (sum of proper divisors): 2,634

Factor pairs (a × b = 1,974)

1 × 1974

2 × 987

3 × 658

6 × 329

7 × 282

14 × 141

21 × 94

42 × 47

First multiples

1,974 · 3,948 (double) · 5,922 · 7,896 · 9,870 · 11,844 · 13,818 · 15,792 · 17,766 · 19,740

Sums & aliquot sequence

As consecutive integers: 657 + 658 + 659 492 + 493 + 494 + 495 279 + 280 + … + 285 159 + 160 + … + 170

Aliquot sequence: 1,974 → 2,634 → 2,646 → 4,194 → 4,932 → 7,626 → 8,502 → 9,978 → 9,990 → 17,370 → 28,026 → 35,136 → 67,226 → 33,616 → 37,808 → 40,312 → 35,288 — unresolved within range

Continued fraction of √n

√1,974 = [44; (2, 3, 17, 2, 17, 3, 2, 88)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand nine hundred seventy-four
Ordinal: 1974th
Roman numeral: MCMLXXIV
Binary: 11110110110
Octal: 3666
Hexadecimal: 0x7B6
Base64: B7Y=
One's complement: 63,561 (16-bit)
Scientific notation: 1.974 × 10³
As a duration: 1,974 s = 32 minutes, 54 seconds

In other bases

ternary (3) 2201010

quaternary (4) 132312

quinary (5) 30344

senary (6) 13050

septenary (7) 5520

nonary (9) 2633

undecimal (11) 1535

duodecimal (12) 1186

tridecimal (13) b8b

tetradecimal (14) a10

pentadecimal (15) 8b9

Palindromic in base 13

As an angle

1,974° = 5 × 360° + 174°

174° ≈ 3.037 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αϡοδʹ
Mayan (base 20): 𝋤·𝋲·𝋮
Chinese: 一千九百七十四
Chinese (financial): 壹仟玖佰柒拾肆

In other modern scripts

Eastern Arabic ١٩٧٤ Devanagari १९७४ Bengali ১৯৭৪ Tamil ௧௯௭௪ Thai ๑๙๗๔ Tibetan ༡༩༧༤ Khmer ១៩៧៤ Lao ໑໙໗໔ Burmese ၁၉၇၄

Digit at this position in famous constants

π — Pi (π): Digit 1,974 = 6
e — Euler's number (e): Digit 1,974 = 1
φ — Golden ratio (φ): Digit 1,974 = 6
√2 — Pythagoras's (√2): Digit 1,974 = 6
ln 2 — Natural log of 2: Digit 1,974 = 4
γ — Euler-Mascheroni (γ): Digit 1,974 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1974, here are decompositions:

23 + 1951 = 1974
41 + 1933 = 1974
43 + 1931 = 1974
61 + 1913 = 1974
67 + 1907 = 1974
73 + 1901 = 1974
97 + 1877 = 1974
101 + 1873 = 1974

Showing the first eight; more decompositions exist.

Hex color

#0007B6

RGB(0, 7, 182)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.182.

Address: 0.0.7.182
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.182

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 1,974 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, -1¢)
Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, +36¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, exact)

Position in π

The digit sequence 1974 first appears in π at position 8,650 of the decimal expansion (the 8,650ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1974 on Pi Search ↗