Number

1,674

1,674 is a composite number, even, a calendar year.

1,674 (one thousand six hundred seventy-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 31. Its proper divisors sum to 2,166, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCLXXIV and in binary, 11010001010.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,662 1,663 1,664 1,665 1,666 1,667 1,668 1,669 1,670 1,671 1,672 1,673 1,674 1,675 1,676 1,677 1,678 1,679 1,680 1,681 1,682 1,683 1,684 1,685 1,686

less more

Notable events — 1674 AD

Feb 19 The Treaty of Westminster ends the Third Anglo-Dutch War.
Aug 11 France defeats the Allies at Seneffe.
Mar 11 Antonie van Leeuwenhoek observes microbes through his microscopes.

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: Monday
January 1, 1674
Ended on: Monday
December 31, 1674
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: March 25
Sunday, March 25, 1674
Decade: 1670s
1670–1679
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 352
352 years before 2026.

In other calendars

Hebrew: 5434 / 5435 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1084 / 1085 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: 2217 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1052 / 1053 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1666 / 1667 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1596 / 1595 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 4,761
Recamán's sequence: a(816) = 1,674
Square (n²): 2,802,276
Cube (n³): 4,691,010,024
Divisor count: 16
σ(n) — sum of divisors: 3,840
φ(n) — Euler's totient: 540
Sum of prime factors: 42

Primality

Prime factorization: 2 × 3 ³ × 31

Nearest primes: 1,669 (−5) · 1,693 (+19)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 31 · 54 · 62 · 93 · 186 · 279 · 558 · 837 (half) · 1674

Aliquot sum (sum of proper divisors): 2,166

Factor pairs (a × b = 1,674)

1 × 1674

2 × 837

3 × 558

6 × 279

9 × 186

18 × 93

27 × 62

31 × 54

First multiples

1,674 · 3,348 (double) · 5,022 · 6,696 · 8,370 · 10,044 · 11,718 · 13,392 · 15,066 · 16,740

Sums & aliquot sequence

As a sum of two cubes: 7³ + 11³

As consecutive integers: 557 + 558 + 559 417 + 418 + 419 + 420 182 + 183 + … + 190 134 + 135 + … + 145

Aliquot sequence: 1,674 → 2,166 → 2,406 → 2,418 → 2,958 → 3,522 → 3,534 → 4,146 → 4,158 → 7,362 → 8,628 → 11,532 → 16,272 → 29,670 → 46,362 → 46,374 → 48,666 — unresolved within range

Continued fraction of √n

√1,674 = [40; (1, 10, 1, 2, 2, 1, 4, 8, 1, 7, 3, 2, 3, 7, 1, 8, 4, 1, 2, 2, 1, 10, 1, 80)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred seventy-four
Ordinal: 1674th
Roman numeral: MDCLXXIV
Binary: 11010001010
Octal: 3212
Hexadecimal: 0x68A
Base64: Boo=
One's complement: 63,861 (16-bit)
Scientific notation: 1.674 × 10³
As a duration: 1,674 s = 27 minutes, 54 seconds

In other bases

ternary (3) 2022000

quaternary (4) 122022

quinary (5) 23144

senary (6) 11430

septenary (7) 4611

nonary (9) 2260

undecimal (11) 1292

duodecimal (12) b76

tridecimal (13) 9ba

tetradecimal (14) 878

pentadecimal (15) 769

Palindromic in base 14

As an angle

1,674° = 4 × 360° + 234°

234° ≈ 4.084 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αχοδʹ
Mayan (base 20): 𝋤·𝋣·𝋮
Chinese: 一千六百七十四
Chinese (financial): 壹仟陸佰柒拾肆

In other modern scripts

Eastern Arabic ١٦٧٤ Devanagari १६७४ Bengali ১৬৭৪ Tamil ௧௬௭௪ Thai ๑๖๗๔ Tibetan ༡༦༧༤ Khmer ១៦៧៤ Lao ໑໖໗໔ Burmese ၁၆၇၄

Digit at this position in famous constants

π — Pi (π): Digit 1,674 = 4
e — Euler's number (e): Digit 1,674 = 5
φ — Golden ratio (φ): Digit 1,674 = 3
√2 — Pythagoras's (√2): Digit 1,674 = 9
ln 2 — Natural log of 2: Digit 1,674 = 8
γ — Euler-Mascheroni (γ): Digit 1,674 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1674, here are decompositions:

5 + 1669 = 1674
7 + 1667 = 1674
11 + 1663 = 1674
17 + 1657 = 1674
37 + 1637 = 1674
47 + 1627 = 1674
53 + 1621 = 1674
61 + 1613 = 1674

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Dal With Dot Below

U+068A

Other letter (Lo)

UTF-8 encoding: DA 8A (2 bytes).

Lookup U+068A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00068A

RGB(0, 6, 138)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.138.

Address: 0.0.6.138
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.138

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

Musical pitch

Heard as a frequency, 1,674 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +13¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -49¢ — about midway to G♯6)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +15¢)

Position in π

The digit sequence 1674 first appears in π at position 6,590 of the decimal expansion (the 6,590ordinal-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 1674 on Pi Search ↗