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10,991

10,991 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.).

10,991 (ten thousand nine hundred ninety-one) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 29 × 379. Written other ways, in hexadecimal, 0x2AEF.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
19,901
Flips to (rotate 180°)
16,601
Recamán's sequence
a(174,277) = 10,991
Square (n²)
120,802,081
Cube (n³)
1,327,735,672,271
Divisor count
4
σ(n) — sum of divisors
11,400
φ(n) — Euler's totient
10,584
Sum of prime factors
408

Primality

Prime factorization: 29 × 379

Nearest primes: 10,987 (−4) · 10,993 (+2)

Divisors & multiples

All divisors (4)
1 · 29 · 379 · 10991
Aliquot sum (sum of proper divisors): 409
Factor pairs (a × b = 10,991)
1 × 10991
29 × 379
First multiples
10,991 · 21,982 (double) · 32,973 · 43,964 · 54,955 · 65,946 · 76,937 · 87,928 · 98,919 · 109,910

Sums & aliquot sequence

As a sum of two cubes: 7³ + 22³
As consecutive integers: 5,495 + 5,496 365 + 366 + … + 393 161 + 162 + … + 218
Aliquot sequence: 10,991 409 1 0 — terminates at zero

Continued fraction of √n

√10,991 = [104; (1, 5, 5, 1, 4, 1, 2, 8, 29, 1, 5, 41, 1, 3, 3, 3, 3, 3, 1, 41, 5, 1, 29, 8, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
ten thousand nine hundred ninety-one
Ordinal
10991st
Binary
10101011101111
Octal
25357
Hexadecimal
0x2AEF
Base64
Ku8=
One's complement
54,544 (16-bit)
Scientific notation
1.0991 × 10⁴
As a duration
10,991 s = 3 hours, 3 minutes, 11 seconds
In other bases
ternary (3) 120002002
quaternary (4) 2223233
quinary (5) 322431
senary (6) 122515
septenary (7) 44021
nonary (9) 16062
undecimal (11) 8292
duodecimal (12) 643b
tridecimal (13) 5006
tetradecimal (14) 4011
pentadecimal (15) 33cb

As an angle

10,991° = 30 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϡϟαʹ
Mayan (base 20)
𝋡·𝋧·𝋩·𝋫
Chinese
一萬零九百九十一
Chinese (financial)
壹萬零玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٠٩٩١ Devanagari १०९९१ Bengali ১০৯৯১ Tamil ௧௦௯௯௧ Thai ๑๐๙๙๑ Tibetan ༡༠༩༩༡ Khmer ១០៩៩១ Lao ໑໐໙໙໑ Burmese ၁၀၉၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,991 = 4
e — Euler's number (e)
Digit 10,991 = 5
φ — Golden ratio (φ)
Digit 10,991 = 9
√2 — Pythagoras's (√2)
Digit 10,991 = 7
ln 2 — Natural log of 2
Digit 10,991 = 3
γ — Euler-Mascheroni (γ)
Digit 10,991 = 5

Also seen as

Unicode codepoint
Vertical Line With Circle Above
U+2AEF
Math symbol (Sm)

UTF-8 encoding: E2 AB AF (3 bytes).

Hex color
#002AEF
RGB(0, 42, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.239.

Address
0.0.42.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.239

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

Musical pitch

Heard as a frequency, 10,991 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -29¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +9¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -28¢)
Position in π

The digit sequence 10991 first appears in π at position 103,589 of the decimal expansion (the 103,589ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.