Number

1,074

1,074 is a composite number, even, a calendar year.

1,074 (one thousand seventy-four) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 179. Its proper divisors sum to 1,086, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MLXXIV and in binary, 10000110010.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,062 1,063 1,064 1,065 1,066 1,067 1,068 1,069 1,070 1,071 1,072 1,073 1,074 1,075 1,076 1,077 1,078 1,079 1,080 1,081 1,082 1,083 1,084 1,085 1,086

less more

Historical context — 1074 AD

Calendar year

Year 1074 (MLXXIV) was a common year starting on Wednesday of the Julian calendar.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1074
Ended on: Thursday
December 31, 1074
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1070s
1070–1079
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 952
952 years before 2026.

In other calendars

Hebrew: 4834 / 4835 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 466 / 467 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: 1617 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 452 / 453 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1066 / 1067 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 996 / 995 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 4,701
Recamán's sequence: a(4,271) = 1,074
Square (n²): 1,153,476
Cube (n³): 1,238,833,224
Divisor count: 8
σ(n) — sum of divisors: 2,160
φ(n) — Euler's totient: 356
Sum of prime factors: 184

Primality

Prime factorization: 2 × 3 × 179

Nearest primes: 1,069 (−5) · 1,087 (+13)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 179 · 358 · 537 (half) · 1074

Aliquot sum (sum of proper divisors): 1,086

Factor pairs (a × b = 1,074)

1 × 1074

2 × 537

3 × 358

6 × 179

First multiples

1,074 · 2,148 (double) · 3,222 · 4,296 · 5,370 · 6,444 · 7,518 · 8,592 · 9,666 · 10,740

Sums & aliquot sequence

As consecutive integers: 357 + 358 + 359 267 + 268 + 269 + 270 84 + 85 + … + 95

Aliquot sequence: 1,074 → 1,086 → 1,098 → 1,320 → 3,000 → 6,360 → 13,080 → 26,520 → 64,200 → 136,680 → 303,960 → 668,040 → 1,448,760 → 2,897,880 → 6,778,920 → 14,760,600 → 31,761,720 — unresolved within range

Continued fraction of √n

√1,074 = [32; (1, 3, 2, 1, 1, 2, 32, 2, 1, 1, 2, 3, 1, 64)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand seventy-four
Ordinal: 1074th
Roman numeral: MLXXIV
Binary: 10000110010
Octal: 2062
Hexadecimal: 0x432
Base64: BDI=
One's complement: 64,461 (16-bit)
Scientific notation: 1.074 × 10³
As a duration: 1,074 s = 17 minutes, 54 seconds

In other bases

ternary (3) 1110210

quaternary (4) 100302

quinary (5) 13244

senary (6) 4550

septenary (7) 3063

nonary (9) 1423

undecimal (11) 897

duodecimal (12) 756

tridecimal (13) 648

tetradecimal (14) 56a

pentadecimal (15) 4b9

As an angle

1,074° = 2 × 360° + 354°

354° ≈ 6.178 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αοδʹ
Mayan (base 20): 𝋢·𝋭·𝋮
Chinese: 一千零七十四
Chinese (financial): 壹仟零柒拾肆

In other modern scripts

Eastern Arabic ١٠٧٤ Devanagari १०७४ Bengali ১০৭৪ Tamil ௧௦௭௪ Thai ๑๐๗๔ Tibetan ༡༠༧༤ Khmer ១០៧៤ Lao ໑໐໗໔ Burmese ၁၀၇၄

Digit at this position in famous constants

π — Pi (π): Digit 1,074 = 9
e — Euler's number (e): Digit 1,074 = 7
φ — Golden ratio (φ): Digit 1,074 = 2
√2 — Pythagoras's (√2): Digit 1,074 = 1
ln 2 — Natural log of 2: Digit 1,074 = 4
γ — Euler-Mascheroni (γ): Digit 1,074 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1074, here are decompositions:

5 + 1069 = 1074
11 + 1063 = 1074
13 + 1061 = 1074
23 + 1051 = 1074
41 + 1033 = 1074
43 + 1031 = 1074
53 + 1021 = 1074
61 + 1013 = 1074

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Small Letter Ve

U+0432

Lowercase letter (Ll)

UTF-8 encoding: D0 B2 (2 bytes).

Lookup U+0432 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000432

RGB(0, 4, 50)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.50.

Address: 0.0.4.50
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.50

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

Musical pitch

Heard as a frequency, 1,074 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +45¢ — about midway to C♯6)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -17¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +46¢ — about midway to D6)

Position in π

The digit sequence 1074 first appears in π at position 22,111 of the decimal expansion (the 22,111ordinal-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 1074 on Pi Search ↗