Live analysis

13,326

13,326 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.).

13,326 (thirteen thousand three hundred twenty-six) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 2,221. Its proper divisors sum to 13,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x340E.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,314 13,315 13,316 13,317 13,318 13,319 13,320 13,321 13,322 13,323 13,324 13,325 13,326 13,327 13,328 13,329 13,330 13,331 13,332 13,333 13,334 13,335 13,336 13,337 13,338

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 108
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 62,331
Recamán's sequence: a(47,623) = 13,326
Square (n²): 177,582,276
Cube (n³): 2,366,461,409,976
Divisor count: 8
σ(n) — sum of divisors: 26,664
φ(n) — Euler's totient: 4,440
Sum of prime factors: 2,226

Primality

Prime factorization: 2 × 3 × 2221

Nearest primes: 13,313 (−13) · 13,327 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 2221 · 4442 · 6663 (half) · 13326

Aliquot sum (sum of proper divisors): 13,338

Factor pairs (a × b = 13,326)

1 × 13326

2 × 6663

3 × 4442

6 × 2221

First multiples

13,326 · 26,652 (double) · 39,978 · 53,304 · 66,630 · 79,956 · 93,282 · 106,608 · 119,934 · 133,260

Sums & aliquot sequence

As consecutive integers: 4,441 + 4,442 + 4,443 3,330 + 3,331 + 3,332 + 3,333 1,105 + 1,106 + … + 1,116

Aliquot sequence: 13,326 → 13,338 → 20,262 → 24,090 → 39,846 → 42,954 → 42,966 → 76,842 → 94,038 → 121,002 → 166,230 → 266,202 → 336,582 → 446,778 → 521,280 → 1,281,612 → 1,708,844 — unresolved within range

Continued fraction of √n

√13,326 = [115; (2, 3, 1, 1, 4, 2, 1, 6, 9, 1, 7, 1, 45, 3, 2, 10, 15, 3, 2, 1, 1, 1, 2, 1, …)]

Representations

In words: thirteen thousand three hundred twenty-six
Ordinal: 13326th
Binary: 11010000001110
Octal: 32016
Hexadecimal: 0x340E
Base64: NA4=
One's complement: 52,209 (16-bit)
Scientific notation: 1.3326 × 10⁴
As a duration: 13,326 s = 3 hours, 42 minutes, 6 seconds

In other bases

ternary (3) 200021120

quaternary (4) 3100032

quinary (5) 411301

senary (6) 141410

septenary (7) 53565

nonary (9) 20246

undecimal (11) a015

duodecimal (12) 7866

tridecimal (13) 60b1

tetradecimal (14) 4bdc

pentadecimal (15) 3e36

As an angle

13,326° = 37 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγτκϛʹ
Mayan (base 20): 𝋡·𝋭·𝋦·𝋦
Chinese: 一萬三千三百二十六
Chinese (financial): 壹萬參仟參佰貳拾陸

In other modern scripts

Eastern Arabic ١٣٣٢٦ Devanagari १३३२६ Bengali ১৩৩২৬ Tamil ௧௩௩௨௬ Thai ๑๓๓๒๖ Tibetan ༡༣༣༢༦ Khmer ១៣៣២៦ Lao ໑໓໓໒໖ Burmese ၁၃၃၂၆

Digit at this position in famous constants

π — Pi (π): Digit 13,326 = 5
e — Euler's number (e): Digit 13,326 = 6
φ — Golden ratio (φ): Digit 13,326 = 0
√2 — Pythagoras's (√2): Digit 13,326 = 4
ln 2 — Natural log of 2: Digit 13,326 = 3
γ — Euler-Mascheroni (γ): Digit 13,326 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13326, here are decompositions:

13 + 13313 = 13326
17 + 13309 = 13326
29 + 13297 = 13326
59 + 13267 = 13326
67 + 13259 = 13326
97 + 13229 = 13326
107 + 13219 = 13326
109 + 13217 = 13326

Showing the first eight; more decompositions exist.

Unicode codepoint

㐎

CJK Unified Ideograph-340E

U+340E

Other letter (Lo)

UTF-8 encoding: E3 90 8E (3 bytes).

Lookup U+340E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00340E

RGB(0, 52, 14)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.14.

Address: 0.0.52.14
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.14

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

Musical pitch

Heard as a frequency, 13,326 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +5¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +6¢)

Position in π

The digit sequence 13326 first appears in π at position 214,528 of the decimal expansion (the 214,528ordinal-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 13326 on Pi Search ↗