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Number

974

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

974 (nine hundred seventy-four) is an even 3-digit number. It is a composite number with 4 divisors, and factors as 2 × 487. Written other ways, in Roman numerals it is CMLXXIV and in binary, 1111001110.

Arithmetic Number Cube-Free Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

6 notable facts · grade B
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Historical context — 974 AD

Calendar year

Year 974 (CMLXXIV) was a common year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 974 BC

Decade

The 970s BC is a decade that lasted from 979 BC to 970 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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
Saturday
January 1, 974
Ended on
Saturday
December 31, 974
Friday the 13ths
1
One Friday the 13th this year.
Decade
970s
970–979
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,052
1052 years before 2026.

In other calendars

Hebrew
4734 / 4735 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
363 / 364 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dog
Sexagenary cycle position 11 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1517 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
352 / 353 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
966 / 967 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
896 / 895 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
479
Recamán's sequence
a(4,471) = 974
Square (n²)
948,676
Cube (n³)
924,010,424
Divisor count
4
σ(n) — sum of divisors
1,464
φ(n) — Euler's totient
486
Sum of prime factors
489

Primality

Prime factorization: 2 × 487

Nearest primes: 971 (−3) · 977 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 487 (half) · 974
Aliquot sum (sum of proper divisors): 490
Factor pairs (a × b = 974)
1 × 974
2 × 487
First multiples
974 · 1,948 (double) · 2,922 · 3,896 · 4,870 · 5,844 · 6,818 · 7,792 · 8,766 · 9,740

Sums & aliquot sequence

As consecutive integers: 242 + 243 + 244 + 245
Aliquot sequence: 974 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

Continued fraction of √n

√974 = [31; (4, 1, 3, 1, 1, 1, 11, 1, 5, 3, 8, 1, 1, 1, 1, 30, 1, 1, 1, 1, 8, 3, 5, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-four
Ordinal
974th
Roman numeral
CMLXXIV
Binary
1111001110
Octal
1716
Hexadecimal
0x3CE
Base64
A84=
One's complement
64,561 (16-bit)
Scientific notation
9.74 × 10²
As a duration
974 s = 16 minutes, 14 seconds
In other bases
ternary (3) 1100002
quaternary (4) 33032
quinary (5) 12344
senary (6) 4302
septenary (7) 2561
nonary (9) 1302
undecimal (11) 806
duodecimal (12) 692
tridecimal (13) 59c
tetradecimal (14) 4d8
pentadecimal (15) 44e

As an angle

974° = 2 × 360° + 254°
254° ≈ 4.433 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
ϡοδʹ
Mayan (base 20)
𝋢·𝋨·𝋮
Chinese
九百七十四
Chinese (financial)
玖佰柒拾肆
In other modern scripts
Eastern Arabic ٩٧٤ Devanagari ९७४ Bengali ৯৭৪ Tamil ௯௭௪ Thai ๙๗๔ Tibetan ༩༧༤ Khmer ៩៧៤ Lao ໙໗໔ Burmese ၉၇၄

Digit at this position in famous constants

π — Pi (π)
Digit 974 = 0
e — Euler's number (e)
Digit 974 = 3
φ — Golden ratio (φ)
Digit 974 = 7
√2 — Pythagoras's (√2)
Digit 974 = 9
ln 2 — Natural log of 2
Digit 974 = 3
γ — Euler-Mascheroni (γ)
Digit 974 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 974, here are decompositions:

  • 3 + 971 = 974
  • 7 + 967 = 974
  • 37 + 937 = 974
  • 67 + 907 = 974
  • 97 + 877 = 974
  • 151 + 823 = 974
  • 163 + 811 = 974
  • 223 + 751 = 974

Showing the first eight; more decompositions exist.

Unicode codepoint
ώ
Greek Small Letter Omega With Tonos
U+03CE
Lowercase letter (Ll)

UTF-8 encoding: CF 8E (2 bytes).

Hex color
#0003CE
RGB(0, 3, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.206.

Address
0.0.3.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.206

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

Musical pitch

Heard as a frequency, 974 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -24¢)
  • Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +13¢)
  • Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -23¢)

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.