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10,689

10,689 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.).

10,689 (ten thousand six hundred eighty-nine) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 7 × 509. Written other ways, in hexadecimal, 0x29C1.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
98,601
Flips to (rotate 180°)
68,901
Recamán's sequence
a(50,141) = 10,689
Square (n²)
114,254,721
Cube (n³)
1,221,268,712,769
Divisor count
8
σ(n) — sum of divisors
16,320
φ(n) — Euler's totient
6,096
Sum of prime factors
519

Primality

Prime factorization: 3 × 7 × 509

Nearest primes: 10,687 (−2) · 10,691 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 7 · 21 · 509 · 1527 · 3563 · 10689
Aliquot sum (sum of proper divisors): 5,631
Factor pairs (a × b = 10,689)
1 × 10689
3 × 3563
7 × 1527
21 × 509
First multiples
10,689 · 21,378 (double) · 32,067 · 42,756 · 53,445 · 64,134 · 74,823 · 85,512 · 96,201 · 106,890

Sums & aliquot sequence

As consecutive integers: 5,344 + 5,345 3,562 + 3,563 + 3,564 1,779 + 1,780 + 1,781 + 1,782 + 1,783 + 1,784 1,524 + 1,525 + … + 1,530
Aliquot sequence: 10,689 5,631 1,881 1,239 681 231 153 81 40 50 43 1 0 — terminates at zero

Continued fraction of √n

√10,689 = [103; (2, 1, 1, 2, 1, 1, 1, 2, 2, 4, 1, 7, 2, 5, 8, 2, 3, 4, 1, 1, 11, 1, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
ten thousand six hundred eighty-nine
Ordinal
10689th
Binary
10100111000001
Octal
24701
Hexadecimal
0x29C1
Base64
KcE=
One's complement
54,846 (16-bit)
Scientific notation
1.0689 × 10⁴
As a duration
10,689 s = 2 hours, 58 minutes, 9 seconds
In other bases
ternary (3) 112122220
quaternary (4) 2213001
quinary (5) 320224
senary (6) 121253
septenary (7) 43110
nonary (9) 15586
undecimal (11) 8038
duodecimal (12) 6229
tridecimal (13) 4b33
tetradecimal (14) 3c77
pentadecimal (15) 3279

As an angle

10,689° = 29 × 360° + 249°
249° ≈ 4.346 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιχπθʹ
Mayan (base 20)
𝋡·𝋦·𝋮·𝋩
Chinese
一萬零六百八十九
Chinese (financial)
壹萬零陸佰捌拾玖
In other modern scripts
Eastern Arabic ١٠٦٨٩ Devanagari १०६८९ Bengali ১০৬৮৯ Tamil ௧௦௬௮௯ Thai ๑๐๖๘๙ Tibetan ༡༠༦༨༩ Khmer ១០៦៨៩ Lao ໑໐໖໘໙ Burmese ၁၀၆၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 10,689 = 9
e — Euler's number (e)
Digit 10,689 = 8
φ — Golden ratio (φ)
Digit 10,689 = 3
√2 — Pythagoras's (√2)
Digit 10,689 = 8
ln 2 — Natural log of 2
Digit 10,689 = 4
γ — Euler-Mascheroni (γ)
Digit 10,689 = 4

Also seen as

Unicode codepoint
Circled Greater-Than
U+29C1
Math symbol (Sm)

UTF-8 encoding: E2 A7 81 (3 bytes).

Hex color
#0029C1
RGB(0, 41, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.193.

Address
0.0.41.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.193

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

Musical pitch

Heard as a frequency, 10,689 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -39¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +24¢)
Position in π

The digit sequence 10689 first appears in π at position 45,286 of the decimal expansion (the 45,286ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.