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10,802

10,802 is a composite number, even.

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.).

10,802 (ten thousand eight hundred two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 11 × 491. Written other ways, in hexadecimal, 0x2A32.

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

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
20,801
Recamán's sequence
a(174,655) = 10,802
Square (n²)
116,683,204
Cube (n³)
1,260,411,969,608
Divisor count
8
σ(n) — sum of divisors
17,712
φ(n) — Euler's totient
4,900
Sum of prime factors
504

Primality

Prime factorization: 2 × 11 × 491

Nearest primes: 10,799 (−3) · 10,831 (+29)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 491 · 982 · 5401 (half) · 10802
Aliquot sum (sum of proper divisors): 6,910
Factor pairs (a × b = 10,802)
1 × 10802
2 × 5401
11 × 982
22 × 491
First multiples
10,802 · 21,604 (double) · 32,406 · 43,208 · 54,010 · 64,812 · 75,614 · 86,416 · 97,218 · 108,020

Sums & aliquot sequence

As consecutive integers: 2,699 + 2,700 + 2,701 + 2,702 977 + 978 + … + 987 224 + 225 + … + 267
Aliquot sequence: 10,802 6,910 5,546 3,094 2,954 2,134 1,394 874 566 286 218 112 136 134 70 74 40 — unresolved within range

Continued fraction of √n

√10,802 = [103; (1, 13, 1, 5, 1, 3, 2, 1, 1, 2, 2, 1, 28, 1, 102, 1, 28, 1, 2, 2, 1, 1, 2, 3, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
ten thousand eight hundred two
Ordinal
10802nd
Binary
10101000110010
Octal
25062
Hexadecimal
0x2A32
Base64
KjI=
One's complement
54,733 (16-bit)
Scientific notation
1.0802 × 10⁴
As a duration
10,802 s = 3 hours, 2 seconds
In other bases
ternary (3) 112211002
quaternary (4) 2220302
quinary (5) 321202
senary (6) 122002
septenary (7) 43331
nonary (9) 15732
undecimal (11) 8130
duodecimal (12) 6302
tridecimal (13) 4bbc
tetradecimal (14) 3d18
pentadecimal (15) 3302

As an angle

10,802° = 30 × 360° + 2°
2° ≈ 0.035 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 · 𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ιωβʹ
Mayan (base 20)
𝋡·𝋧·𝋠·𝋢
Chinese
一萬零八百零二
Chinese (financial)
壹萬零捌佰零貳
In other modern scripts
Eastern Arabic ١٠٨٠٢ Devanagari १०८०२ Bengali ১০৮০২ Tamil ௧௦௮௦௨ Thai ๑๐๘๐๒ Tibetan ༡༠༨༠༢ Khmer ១០៨០២ Lao ໑໐໘໐໒ Burmese ၁၀၈၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 10,802 = 2
e — Euler's number (e)
Digit 10,802 = 0
φ — Golden ratio (φ)
Digit 10,802 = 2
√2 — Pythagoras's (√2)
Digit 10,802 = 0
ln 2 — Natural log of 2
Digit 10,802 = 2
γ — Euler-Mascheroni (γ)
Digit 10,802 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10802, here are decompositions:

  • 3 + 10799 = 10802
  • 13 + 10789 = 10802
  • 31 + 10771 = 10802
  • 73 + 10729 = 10802
  • 79 + 10723 = 10802
  • 139 + 10663 = 10802
  • 151 + 10651 = 10802
  • 163 + 10639 = 10802

Showing the first eight; more decompositions exist.

Unicode codepoint
Semidirect Product With Bottom Closed
U+2A32
Math symbol (Sm)

UTF-8 encoding: E2 A8 B2 (3 bytes).

Hex color
#002A32
RGB(0, 42, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.50.

Address
0.0.42.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.50

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

Musical pitch

Heard as a frequency, 10,802 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, +41¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, -21¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, +42¢)
Position in π

The digit sequence 10802 first appears in π at position 258,420 of the decimal expansion (the 258,420ordinal-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.