Live analysis

13,508

13,508 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.).

13,508 (thirteen thousand five hundred eight) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 307. Written other ways, in hexadecimal, 0x34C4.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

13,496 13,497 13,498 13,499 13,500 13,501 13,502 13,503 13,504 13,505 13,506 13,507 13,508 13,509 13,510 13,511 13,512 13,513 13,514 13,515 13,516 13,517 13,518 13,519 13,520

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 80,531
Recamán's sequence: a(47,259) = 13,508
Square (n²): 182,466,064
Cube (n³): 2,464,751,592,512
Divisor count: 12
σ(n) — sum of divisors: 25,872
φ(n) — Euler's totient: 6,120
Sum of prime factors: 322

Primality

Prime factorization: 2 ² × 11 × 307

Nearest primes: 13,499 (−9) · 13,513 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 11 · 22 · 44 · 307 · 614 · 1228 · 3377 · 6754 (half) · 13508

Aliquot sum (sum of proper divisors): 12,364

Factor pairs (a × b = 13,508)

1 × 13508

2 × 6754

4 × 3377

11 × 1228

22 × 614

44 × 307

First multiples

13,508 · 27,016 (double) · 40,524 · 54,032 · 67,540 · 81,048 · 94,556 · 108,064 · 121,572 · 135,080

Sums & aliquot sequence

As consecutive integers: 1,685 + 1,686 + … + 1,692 1,223 + 1,224 + … + 1,233 110 + 111 + … + 197

Aliquot sequence: 13,508 → 12,364 → 11,324 → 9,676 → 7,964 → 7,324 → 5,500 → 7,604 → 5,710 → 4,586 → 2,296 → 2,744 → 3,256 → 3,584 → 4,600 → 6,560 → 9,316 — unresolved within range

Continued fraction of √n

√13,508 = [116; (4, 2, 6, 1, 4, 1, 1, 5, 1, 2, 1, 3, 1, 1, 1, 4, 1, 1, 1, 3, 1, 2, 1, 5, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand five hundred eight
Ordinal: 13508th
Binary: 11010011000100
Octal: 32304
Hexadecimal: 0x34C4
Base64: NMQ=
One's complement: 52,027 (16-bit)
Scientific notation: 1.3508 × 10⁴
As a duration: 13,508 s = 3 hours, 45 minutes, 8 seconds

In other bases

ternary (3) 200112022

quaternary (4) 3103010

quinary (5) 413013

senary (6) 142312

septenary (7) 54245

nonary (9) 20468

undecimal (11) a170

duodecimal (12) 7998

tridecimal (13) 61c1

tetradecimal (14) 4ccc

pentadecimal (15) 4008

Palindromic in base 7

As an angle

13,508° = 37 × 360° + 188°

188° ≈ 3.281 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγφηʹ
Mayan (base 20): 𝋡·𝋭·𝋯·𝋨
Chinese: 一萬三千五百零八
Chinese (financial): 壹萬參仟伍佰零捌

In other modern scripts

Eastern Arabic ١٣٥٠٨ Devanagari १३५०८ Bengali ১৩৫০৮ Tamil ௧௩௫௦௮ Thai ๑๓๕๐๘ Tibetan ༡༣༥༠༨ Khmer ១៣៥០៨ Lao ໑໓໕໐໘ Burmese ၁၃၅၀၈

Digit at this position in famous constants

π — Pi (π): Digit 13,508 = 5
e — Euler's number (e): Digit 13,508 = 0
φ — Golden ratio (φ): Digit 13,508 = 9
√2 — Pythagoras's (√2): Digit 13,508 = 9
ln 2 — Natural log of 2: Digit 13,508 = 0
γ — Euler-Mascheroni (γ): Digit 13,508 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13508, here are decompositions:

31 + 13477 = 13508
67 + 13441 = 13508
97 + 13411 = 13508
109 + 13399 = 13508
127 + 13381 = 13508
181 + 13327 = 13508
199 + 13309 = 13508
211 + 13297 = 13508

Showing the first eight; more decompositions exist.

Unicode codepoint

㓄

CJK Unified Ideograph-34C4

U+34C4

Other letter (Lo)

UTF-8 encoding: E3 93 84 (3 bytes).

Lookup U+34C4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0034C4

RGB(0, 52, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.196.

Address: 0.0.52.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.196

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

Musical pitch

Heard as a frequency, 13,508 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +28¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -34¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +29¢)

Position in π

The digit sequence 13508 first appears in π at position 95,019 of the decimal expansion (the 95,019ordinal-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 13508 on Pi Search ↗