Live analysis

10,011

10,011 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.).

10,011 (ten thousand eleven) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 47 × 71. It is the 141st triangular number. Written other ways, in hexadecimal, 0x271B.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Harshad / Niven Hexagonal Recamán's Sequence Sphenic Number Squarefree Triangular

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

9,999 10,000 10,001 10,002 10,003 10,004 10,005 10,006 10,007 10,008 10,009 10,010 10,011 10,012 10,013 10,014 10,015 10,016 10,017 10,018 10,019 10,020 10,021 10,022 10,023

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 11,001
Flips to (rotate 180°): 11,001
Recamán's sequence: a(4,793) = 10,011
Square (n²): 100,220,121
Cube (n³): 1,003,303,631,331
Divisor count: 8
σ(n) — sum of divisors: 13,824
φ(n) — Euler's totient: 6,440
Sum of prime factors: 121

Primality

Prime factorization: 3 × 47 × 71

Nearest primes: 10,009 (−2) · 10,037 (+26)

Divisors & multiples

All divisors (8)

1 · 3 · 47 · 71 · 141 · 213 · 3337 · 10011

Aliquot sum (sum of proper divisors): 3,813

Factor pairs (a × b = 10,011)

1 × 10011

3 × 3337

47 × 213

71 × 141

First multiples

10,011 · 20,022 (double) · 30,033 · 40,044 · 50,055 · 60,066 · 70,077 · 80,088 · 90,099 · 100,110

Sums & aliquot sequence

As consecutive integers: 5,005 + 5,006 3,336 + 3,337 + 3,338 1,666 + 1,667 + 1,668 + 1,669 + 1,670 + 1,671 190 + 191 + … + 236

Aliquot sequence: 10,011 → 3,813 → 1,563 → 525 → 467 → 1 → 0 — terminates at zero

Continued fraction of √n

√10,011 = [100; (18, 5, 2, 1, 5, 33, 5, 1, 2, 5, 18, 200)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: ten thousand eleven
Ordinal: 10011th
Binary: 10011100011011
Octal: 23433
Hexadecimal: 0x271B
Base64: Jxs=
One's complement: 55,524 (16-bit)
Scientific notation: 1.0011 × 10⁴
As a duration: 10,011 s = 2 hours, 46 minutes, 51 seconds

In other bases

ternary (3) 111201210

quaternary (4) 2130123

quinary (5) 310021

senary (6) 114203

septenary (7) 41121

nonary (9) 14653

undecimal (11) 7581

duodecimal (12) 5963

tridecimal (13) 4731

tetradecimal (14) 3911

pentadecimal (15) 2e76

As an angle

10,011° = 27 × 360° + 291°

291° ≈ 5.079 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓎆𓏺
Greek (Milesian): ͵ιιαʹ
Mayan (base 20): 𝋡·𝋥·𝋠·𝋫
Chinese: 一萬零一十一
Chinese (financial): 壹萬零壹拾壹

In other modern scripts

Eastern Arabic ١٠٠١١ Devanagari १००११ Bengali ১০০১১ Tamil ௧௦௦௧௧ Thai ๑๐๐๑๑ Tibetan ༡༠༠༡༡ Khmer ១០០១១ Lao ໑໐໐໑໑ Burmese ၁၀၀၁၁

Digit at this position in famous constants

π — Pi (π): Digit 10,011 = 6
e — Euler's number (e): Digit 10,011 = 9
φ — Golden ratio (φ): Digit 10,011 = 5
√2 — Pythagoras's (√2): Digit 10,011 = 9
ln 2 — Natural log of 2: Digit 10,011 = 9
γ — Euler-Mascheroni (γ): Digit 10,011 = 9

Also seen as

Unicode codepoint

✛

Open Centre Cross

U+271B

Other symbol (So)

UTF-8 encoding: E2 9C 9B (3 bytes).

Lookup U+271B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00271B

RGB(0, 39, 27)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.27.

Address: 0.0.39.27
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.27

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

Musical pitch

Heard as a frequency, 10,011 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +47¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +11¢)

Position in π

The digit sequence 10011 first appears in π at position 16,015 of the decimal expansion (the 16,015ordinal-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 10011 on Pi Search ↗