Live analysis

13,310

13,310 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.).

13,310 (thirteen thousand three hundred ten) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 11³. Written other ways, in hexadecimal, 0x33FE.

Arithmetic Number Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 13,321 13,322

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 1,331
Recamán's sequence: a(47,655) = 13,310
Square (n²): 177,156,100
Cube (n³): 2,357,947,691,000
Divisor count: 16
σ(n) — sum of divisors: 26,352
φ(n) — Euler's totient: 4,840
Sum of prime factors: 40

Primality

Prime factorization: 2 × 5 × 11 ³

Nearest primes: 13,309 (−1) · 13,313 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 10 · 11 · 22 · 55 · 110 · 121 · 242 · 605 · 1210 · 1331 · 2662 · 6655 (half) · 13310

Aliquot sum (sum of proper divisors): 13,042

Factor pairs (a × b = 13,310)

1 × 13310

2 × 6655

5 × 2662

10 × 1331

11 × 1210

22 × 605

55 × 242

110 × 121

First multiples

13,310 · 26,620 (double) · 39,930 · 53,240 · 66,550 · 79,860 · 93,170 · 106,480 · 119,790 · 133,100

Sums & aliquot sequence

As consecutive integers: 3,326 + 3,327 + 3,328 + 3,329 2,660 + 2,661 + 2,662 + 2,663 + 2,664 1,205 + 1,206 + … + 1,215 656 + 657 + … + 675

Aliquot sequence: 13,310 → 13,042 → 6,524 → 6,580 → 9,548 → 11,956 → 12,782 → 11,410 → 12,206 → 7,234 → 3,620 → 4,024 → 3,536 → 4,276 → 3,214 → 1,610 → 1,846 — unresolved within range

Continued fraction of √n

√13,310 = [115; (2, 1, 2, 2, 4, 1, 1, 2, 7, 1, 1, 3, 2, 1, 1, 1, 3, 6, 1, 1, 22, 1, 1, 6, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand three hundred ten
Ordinal: 13310th
Binary: 11001111111110
Octal: 31776
Hexadecimal: 0x33FE
Base64: M/4=
One's complement: 52,225 (16-bit)
Scientific notation: 1.331 × 10⁴
As a duration: 13,310 s = 3 hours, 41 minutes, 50 seconds

In other bases

ternary (3) 200020222

quaternary (4) 3033332

quinary (5) 411220

senary (6) 141342

septenary (7) 53543

nonary (9) 20228

undecimal (11) a000

duodecimal (12) 7852

tridecimal (13) 609b

tetradecimal (14) 4bca

pentadecimal (15) 3e25

As an angle

13,310° = 36 × 360° + 350°

350° ≈ 6.109 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆
Greek (Milesian): ͵ιγτιʹ
Mayan (base 20): 𝋡·𝋭·𝋥·𝋪
Chinese: 一萬三千三百一十
Chinese (financial): 壹萬參仟參佰壹拾

In other modern scripts

Eastern Arabic ١٣٣١٠ Devanagari १३३१० Bengali ১৩৩১০ Tamil ௧௩௩௧௦ Thai ๑๓๓๑๐ Tibetan ༡༣༣༡༠ Khmer ១៣៣១០ Lao ໑໓໓໑໐ Burmese ၁၃၃၁၀

Digit at this position in famous constants

π — Pi (π): Digit 13,310 = 0
e — Euler's number (e): Digit 13,310 = 1
φ — Golden ratio (φ): Digit 13,310 = 4
√2 — Pythagoras's (√2): Digit 13,310 = 5
ln 2 — Natural log of 2: Digit 13,310 = 1
γ — Euler-Mascheroni (γ): Digit 13,310 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13310, here are decompositions:

13 + 13297 = 13310
19 + 13291 = 13310
43 + 13267 = 13310
61 + 13249 = 13310
127 + 13183 = 13310
139 + 13171 = 13310
151 + 13159 = 13310
163 + 13147 = 13310

Showing the first eight; more decompositions exist.

Unicode codepoint

㏾

Ideographic Telegraph Symbol For Day Thirty-One

U+33FE

Other symbol (So)

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

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

Hex color

#0033FE

RGB(0, 51, 254)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.254.

Address: 0.0.51.254
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.254

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

Musical pitch

Heard as a frequency, 13,310 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +3¢)
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 13310 first appears in π at position 16,019 of the decimal expansion (the 16,019ordinal-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 13310 on Pi Search ↗