Live analysis

11,013

11,013 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.).

11,013 (eleven thousand thirteen) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 3 × 3,671. Written other ways, in hexadecimal, 0x2B05.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

11,001 11,002 11,003 11,004 11,005 11,006 11,007 11,008 11,009 11,010 11,011 11,012 11,013 11,014 11,015 11,016 11,017 11,018 11,019 11,020 11,021 11,022 11,023 11,024 11,025

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 31,011
Recamán's sequence: a(174,233) = 11,013
Square (n²): 121,286,169
Cube (n³): 1,335,724,579,197
Divisor count: 4
σ(n) — sum of divisors: 14,688
φ(n) — Euler's totient: 7,340
Sum of prime factors: 3,674

Primality

Prime factorization: 3 × 3671

Nearest primes: 11,003 (−10) · 11,027 (+14)

Divisors & multiples

All divisors (4)

1 · 3 · 3671 · 11013

Aliquot sum (sum of proper divisors): 3,675

Factor pairs (a × b = 11,013)

1 × 11013

3 × 3671

First multiples

11,013 · 22,026 (double) · 33,039 · 44,052 · 55,065 · 66,078 · 77,091 · 88,104 · 99,117 · 110,130

Sums & aliquot sequence

As consecutive integers: 5,506 + 5,507 3,670 + 3,671 + 3,672 1,833 + 1,834 + 1,835 + 1,836 + 1,837 + 1,838

Aliquot sequence: 11,013 → 3,675 → 3,393 → 2,067 → 957 → 483 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√11,013 = [104; (1, 16, 2, 51, 1, 68, 1, 51, 2, 16, 1, 208)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: eleven thousand thirteen
Ordinal: 11013th
Binary: 10101100000101
Octal: 25405
Hexadecimal: 0x2B05
Base64: KwU=
One's complement: 54,522 (16-bit)
Scientific notation: 1.1013 × 10⁴
As a duration: 11,013 s = 3 hours, 3 minutes, 33 seconds

In other bases

ternary (3) 120002220

quaternary (4) 2230011

quinary (5) 323023

senary (6) 122553

septenary (7) 44052

nonary (9) 16086

undecimal (11) 8302

duodecimal (12) 6459

tridecimal (13) 5022

tetradecimal (14) 4029

pentadecimal (15) 33e3

As an angle

11,013° = 30 × 360° + 213°

213° ≈ 3.718 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιαιγʹ
Mayan (base 20): 𝋡·𝋧·𝋪·𝋭
Chinese: 一萬一千零一十三
Chinese (financial): 壹萬壹仟零壹拾參

In other modern scripts

Eastern Arabic ١١٠١٣ Devanagari ११०१३ Bengali ১১০১৩ Tamil ௧௧௦௧௩ Thai ๑๑๐๑๓ Tibetan ༡༡༠༡༣ Khmer ១១០១៣ Lao ໑໑໐໑໓ Burmese ၁၁၀၁၃

Digit at this position in famous constants

π — Pi (π): Digit 11,013 = 9
e — Euler's number (e): Digit 11,013 = 4
φ — Golden ratio (φ): Digit 11,013 = 3
√2 — Pythagoras's (√2): Digit 11,013 = 4
ln 2 — Natural log of 2: Digit 11,013 = 7
γ — Euler-Mascheroni (γ): Digit 11,013 = 0

Also seen as

Unicode codepoint

⬅

Leftwards Black Arrow

U+2B05

Other symbol (So)

UTF-8 encoding: E2 AC 85 (3 bytes).

Lookup U+2B05 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002B05

RGB(0, 43, 5)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.43.5.

Address: 0.0.43.5
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.43.5

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

Musical pitch

Heard as a frequency, 11,013 Hz is closest to:

Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -25¢)
Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +12¢)
Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -24¢)

Position in π

The digit sequence 11013 first appears in π at position 8,269 of the decimal expansion (the 8,269ordinal-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 11013 on Pi Search ↗