Live analysis

13,011

13,011 is a composite number, odd.

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.).

13,011 (thirteen thousand eleven) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 3 × 4,337. Written other ways, in hexadecimal, 0x32D3.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

12,999 13,000 13,001 13,002 13,003 13,004 13,005 13,006 13,007 13,008 13,009 13,010 13,011 13,012 13,013 13,014 13,015 13,016 13,017 13,018 13,019 13,020 13,021 13,022 13,023

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 11,031
Recamán's sequence: a(48,253) = 13,011
Square (n²): 169,286,121
Cube (n³): 2,202,581,720,331
Divisor count: 4
σ(n) — sum of divisors: 17,352
φ(n) — Euler's totient: 8,672
Sum of prime factors: 4,340

Primality

Prime factorization: 3 × 4337

Nearest primes: 13,009 (−2) · 13,033 (+22)

Divisors & multiples

All divisors (4)

1 · 3 · 4337 · 13011

Aliquot sum (sum of proper divisors): 4,341

Factor pairs (a × b = 13,011)

1 × 13011

3 × 4337

First multiples

13,011 · 26,022 (double) · 39,033 · 52,044 · 65,055 · 78,066 · 91,077 · 104,088 · 117,099 · 130,110

Sums & aliquot sequence

As consecutive integers: 6,505 + 6,506 4,336 + 4,337 + 4,338 2,166 + 2,167 + 2,168 + 2,169 + 2,170 + 2,171

Aliquot sequence: 13,011 → 4,341 → 1,451 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,011 = [114; (15, 4, 1, 8, 3, 10, 20, 1, 1, 1, 3, 1, 9, 7, 1, 1, 113, 1, 1, 7, 9, 1, 3, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand eleven
Ordinal: 13011th
Binary: 11001011010011
Octal: 31323
Hexadecimal: 0x32D3
Base64: MtM=
One's complement: 52,524 (16-bit)
Scientific notation: 1.3011 × 10⁴
As a duration: 13,011 s = 3 hours, 36 minutes, 51 seconds

In other bases

ternary (3) 122211220

quaternary (4) 3023103

quinary (5) 404021

senary (6) 140123

septenary (7) 52635

nonary (9) 18756

undecimal (11) 9859

duodecimal (12) 7643

tridecimal (13) 5bcb

tetradecimal (14) 4a55

pentadecimal (15) 3cc6

Palindromic in base 2

As an angle

13,011° = 36 × 360° + 51°

51° ≈ 0.89 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓏺
Greek (Milesian): ͵ιγιαʹ
Mayan (base 20): 𝋡·𝋬·𝋪·𝋫
Chinese: 一萬三千零一十一
Chinese (financial): 壹萬參仟零壹拾壹

In other modern scripts

Eastern Arabic ١٣٠١١ Devanagari १३०११ Bengali ১৩০১১ Tamil ௧௩௦௧௧ Thai ๑๓๐๑๑ Tibetan ༡༣༠༡༡ Khmer ១៣០១១ Lao ໑໓໐໑໑ Burmese ၁၃၀၁၁

Digit at this position in famous constants

π — Pi (π): Digit 13,011 = 6
e — Euler's number (e): Digit 13,011 = 1
φ — Golden ratio (φ): Digit 13,011 = 5
√2 — Pythagoras's (√2): Digit 13,011 = 7
ln 2 — Natural log of 2: Digit 13,011 = 1
γ — Euler-Mascheroni (γ): Digit 13,011 = 1

Also seen as

Unicode codepoint

㋓

Circled Katakana E

U+32D3

Other symbol (So)

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

Lookup U+32D3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032D3

RGB(0, 50, 211)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.211.

Address: 0.0.50.211
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.211

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

Musical pitch

Heard as a frequency, 13,011 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -37¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -35¢)

Position in π

The digit sequence 13011 first appears in π at position 30,663 of the decimal expansion (the 30,663ordinal-suffix:rd 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 13011 on Pi Search ↗