Live analysis

13,308

13,308 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.).

13,308 (thirteen thousand three hundred eight) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 1,109. Its proper divisors sum to 17,772, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33FC.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,296 13,297 13,298 13,299 13,300 13,301 13,302 13,303 13,304 13,305 13,306 13,307 13,308 13,309 13,310 13,311 13,312 13,313 13,314 13,315 13,316 13,317 13,318 13,319 13,320

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 80,331
Recamán's sequence: a(47,659) = 13,308
Square (n²): 177,102,864
Cube (n³): 2,356,884,914,112
Divisor count: 12
σ(n) — sum of divisors: 31,080
φ(n) — Euler's totient: 4,432
Sum of prime factors: 1,116

Primality

Prime factorization: 2 ² × 3 × 1109

Nearest primes: 13,297 (−11) · 13,309 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 1109 · 2218 · 3327 · 4436 · 6654 (half) · 13308

Aliquot sum (sum of proper divisors): 17,772

Factor pairs (a × b = 13,308)

1 × 13308

2 × 6654

3 × 4436

4 × 3327

6 × 2218

12 × 1109

First multiples

13,308 · 26,616 (double) · 39,924 · 53,232 · 66,540 · 79,848 · 93,156 · 106,464 · 119,772 · 133,080

Sums & aliquot sequence

As consecutive integers: 4,435 + 4,436 + 4,437 1,660 + 1,661 + … + 1,667 543 + 544 + … + 566

Aliquot sequence: 13,308 → 17,772 → 23,724 → 36,336 → 57,656 → 50,464 → 55,376 → 51,946 → 30,134 → 21,946 → 10,976 → 14,224 → 17,520 → 37,536 → 71,328 → 116,160 → 289,224 — unresolved within range

Continued fraction of √n

√13,308 = [115; (2, 1, 3, 2, 4, 1, 4, 10, 1, 3, 1, 1, 9, 17, 1, 1, 1, 4, 20, 1, 3, 5, 1, 56, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand three hundred eight
Ordinal: 13308th
Binary: 11001111111100
Octal: 31774
Hexadecimal: 0x33FC
Base64: M/w=
One's complement: 52,227 (16-bit)
Scientific notation: 1.3308 × 10⁴
As a duration: 13,308 s = 3 hours, 41 minutes, 48 seconds

In other bases

ternary (3) 200020220

quaternary (4) 3033330

quinary (5) 411213

senary (6) 141340

septenary (7) 53541

nonary (9) 20226

undecimal (11) 9aa9

duodecimal (12) 7850

tridecimal (13) 6099

tetradecimal (14) 4bc8

pentadecimal (15) 3e23

Palindromic in base 11

As an angle

13,308° = 36 × 360° + 348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγτηʹ
Mayan (base 20): 𝋡·𝋭·𝋥·𝋨
Chinese: 一萬三千三百零八
Chinese (financial): 壹萬參仟參佰零捌

In other modern scripts

Eastern Arabic ١٣٣٠٨ Devanagari १३३०८ Bengali ১৩৩০৮ Tamil ௧௩௩௦௮ Thai ๑๓๓๐๘ Tibetan ༡༣༣༠༨ Khmer ១៣៣០៨ Lao ໑໓໓໐໘ Burmese ၁၃၃၀၈

Digit at this position in famous constants

π — Pi (π): Digit 13,308 = 1
e — Euler's number (e): Digit 13,308 = 3
φ — Golden ratio (φ): Digit 13,308 = 0
√2 — Pythagoras's (√2): Digit 13,308 = 5
ln 2 — Natural log of 2: Digit 13,308 = 7
γ — Euler-Mascheroni (γ): Digit 13,308 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13308, here are decompositions:

11 + 13297 = 13308
17 + 13291 = 13308
41 + 13267 = 13308
59 + 13249 = 13308
67 + 13241 = 13308
79 + 13229 = 13308
89 + 13219 = 13308
131 + 13177 = 13308

Showing the first eight; more decompositions exist.

Unicode codepoint

㏼

Ideographic Telegraph Symbol For Day Twenty-Nine

U+33FC

Other symbol (So)

UTF-8 encoding: E3 8F BC (3 bytes).

Lookup U+33FC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0033FC

RGB(0, 51, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.252.

Address: 0.0.51.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.252

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

Musical pitch

Heard as a frequency, 13,308 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +2¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +40¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +4¢)

Position in π

The digit sequence 13308 first appears in π at position 25,667 of the decimal expansion (the 25,667ordinal-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 13308 on Pi Search ↗