Live analysis

13,076

13,076 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

13,076 (thirteen thousand seventy-six) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 467. Its proper divisors sum to 13,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3314.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

13,064 13,065 13,066 13,067 13,068 13,069 13,070 13,071 13,072 13,073 13,074 13,075 13,076 13,077 13,078 13,079 13,080 13,081 13,082 13,083 13,084 13,085 13,086 13,087 13,088

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 67,031
Recamán's sequence: a(48,123) = 13,076
Square (n²): 170,981,776
Cube (n³): 2,235,757,702,976
Divisor count: 12
σ(n) — sum of divisors: 26,208
φ(n) — Euler's totient: 5,592
Sum of prime factors: 478

Primality

Prime factorization: 2 ² × 7 × 467

Nearest primes: 13,063 (−13) · 13,093 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 467 · 934 · 1868 · 3269 · 6538 (half) · 13076

Aliquot sum (sum of proper divisors): 13,132

Factor pairs (a × b = 13,076)

1 × 13076

2 × 6538

4 × 3269

7 × 1868

14 × 934

28 × 467

First multiples

13,076 · 26,152 (double) · 39,228 · 52,304 · 65,380 · 78,456 · 91,532 · 104,608 · 117,684 · 130,760

Sums & aliquot sequence

As consecutive integers: 1,865 + 1,866 + … + 1,871 1,631 + 1,632 + … + 1,638 206 + 207 + … + 261

Aliquot sequence: 13,076 → 13,132 → 14,000 → 24,688 → 23,176 → 20,294 → 10,786 → 5,396 → 4,684 → 3,520 → 5,624 → 5,776 → 6,035 → 1,741 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,076 = [114; (2, 1, 5, 1, 6, 1, 1, 8, 1, 1, 1, 1, 2, 3, 1, 13, 1, 1, 10, 1, 11, 8, 11, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand seventy-six
Ordinal: 13076th
Binary: 11001100010100
Octal: 31424
Hexadecimal: 0x3314
Base64: MxQ=
One's complement: 52,459 (16-bit)
Scientific notation: 1.3076 × 10⁴
As a duration: 13,076 s = 3 hours, 37 minutes, 56 seconds

In other bases

ternary (3) 122221022

quaternary (4) 3030110

quinary (5) 404301

senary (6) 140312

septenary (7) 53060

nonary (9) 18838

undecimal (11) 9908

duodecimal (12) 7698

tridecimal (13) 5c4b

tetradecimal (14) 4aa0

pentadecimal (15) 3d1b

As an angle

13,076° = 36 × 360° + 116°

116° ≈ 2.025 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγοϛʹ
Mayan (base 20): 𝋡·𝋬·𝋭·𝋰
Chinese: 一萬三千零七十六
Chinese (financial): 壹萬參仟零柒拾陸

In other modern scripts

Eastern Arabic ١٣٠٧٦ Devanagari १३०७६ Bengali ১৩০৭৬ Tamil ௧௩௦௭௬ Thai ๑๓๐๗๖ Tibetan ༡༣༠༧༦ Khmer ១៣០៧៦ Lao ໑໓໐໗໖ Burmese ၁၃၀၇၆

Digit at this position in famous constants

π — Pi (π): Digit 13,076 = 1
e — Euler's number (e): Digit 13,076 = 9
φ — Golden ratio (φ): Digit 13,076 = 9
√2 — Pythagoras's (√2): Digit 13,076 = 2
ln 2 — Natural log of 2: Digit 13,076 = 0
γ — Euler-Mascheroni (γ): Digit 13,076 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13076, here are decompositions:

13 + 13063 = 13076
43 + 13033 = 13076
67 + 13009 = 13076
73 + 13003 = 13076
97 + 12979 = 13076
103 + 12973 = 13076
109 + 12967 = 13076
157 + 12919 = 13076

Showing the first eight; more decompositions exist.

Unicode codepoint

㌔

Square Kiro

U+3314

Other symbol (So)

UTF-8 encoding: E3 8C 94 (3 bytes).

Lookup U+3314 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003314

RGB(0, 51, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.20.

Address: 0.0.51.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.20

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

Musical pitch

Heard as a frequency, 13,076 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -28¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +10¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -27¢)

Position in π

The digit sequence 13076 first appears in π at position 177,160 of the decimal expansion (the 177,160ordinal-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 13076 on Pi Search ↗