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10,080

10,080 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.).
Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
8,001
Flips to (rotate 180°)
8,001
Recamán's sequence
a(4,947) = 10,080
Square (n²)
101,606,400
Cube (n³)
1,024,192,512,000
Divisor count
72
σ(n) — sum of divisors
39,312
φ(n) — Euler's totient
2,304
Sum of prime factors
28

Primality

Prime factorization: 2 5 × 3 2 × 5 × 7

Nearest primes: 10,079 (−1) · 10,091 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 36 · 40 · 42 · 45 · 48 · 56 · 60 · 63 · 70 · 72 · 80 · 84 · 90 · 96 · 105 · 112 · 120 · 126 · 140 · 144 · 160 · 168 · 180 · 210 · 224 · 240 · 252 · 280 · 288 · 315 · 336 · 360 · 420 · 480 · 504 · 560 · 630 · 672 · 720 · 840 · 1008 · 1120 · 1260 · 1440 · 1680 · 2016 · 2520 · 3360 · 5040 (half) · 10080
Aliquot sum (sum of proper divisors): 29,232
Factor pairs (a × b = 10,080)
1 × 10080
2 × 5040
3 × 3360
4 × 2520
5 × 2016
6 × 1680
7 × 1440
8 × 1260
9 × 1120
10 × 1008
12 × 840
14 × 720
15 × 672
16 × 630
18 × 560
20 × 504
21 × 480
24 × 420
28 × 360
30 × 336
32 × 315
35 × 288
36 × 280
40 × 252
42 × 240
45 × 224
48 × 210
56 × 180
60 × 168
63 × 160
70 × 144
72 × 140
80 × 126
84 × 120
90 × 112
96 × 105
First multiples
10,080 · 20,160 (double) · 30,240 · 40,320 · 50,400 · 60,480 · 70,560 · 80,640 · 90,720 · 100,800

Sums & aliquot sequence

As consecutive integers: 3,359 + 3,360 + 3,361 2,014 + 2,015 + 2,016 + 2,017 + 2,018 1,437 + 1,438 + … + 1,443 1,116 + 1,117 + … + 1,124
Aliquot sequence: 10,080 29,232 67,488 124,032 243,168 437,232 692,408 638,152 558,398 304,810 332,822 237,754 158,822 79,414 41,906 23,758 16,994 — unresolved within range

Representations

In words
ten thousand eighty
Ordinal
10080th
Binary
10011101100000
Octal
23540
Hexadecimal
0x2760
Base64
J2A=
One's complement
55,455 (16-bit)
In other bases
ternary (3) 111211100
quaternary (4) 2131200
quinary (5) 310310
senary (6) 114400
septenary (7) 41250
nonary (9) 14740
undecimal (11) 7634
duodecimal (12) 5a00
tridecimal (13) 4785
tetradecimal (14) 3960
pentadecimal (15) 2ec0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιπʹ
Mayan (base 20)
𝋡·𝋥·𝋤·𝋠
Chinese
一萬零八十
Chinese (financial)
壹萬零捌拾
In other modern scripts
Eastern Arabic ١٠٠٨٠ Devanagari १००८० Bengali ১০০৮০ Tamil ௧௦௦௮௦ Thai ๑๐๐๘๐ Tibetan ༡༠༠༨༠ Khmer ១០០៨០ Lao ໑໐໐໘໐ Burmese ၁၀၀၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,080 = 2
e — Euler's number (e)
Digit 10,080 = 6
φ — Golden ratio (φ)
Digit 10,080 = 3
√2 — Pythagoras's (√2)
Digit 10,080 = 7
ln 2 — Natural log of 2
Digit 10,080 = 7
γ — Euler-Mascheroni (γ)
Digit 10,080 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10080, here are decompositions:

  • 11 + 10069 = 10080
  • 13 + 10067 = 10080
  • 19 + 10061 = 10080
  • 41 + 10039 = 10080
  • 43 + 10037 = 10080
  • 71 + 10009 = 10080
  • 73 + 10007 = 10080
  • 107 + 9973 = 10080

Showing the first eight; more decompositions exist.

Unicode codepoint
Heavy Low Double Comma Quotation Mark Ornament
U+2760
Other symbol (So)

UTF-8 encoding: E2 9D A0 (3 bytes).

Hex color
#002760
RGB(0, 39, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.96.

Address
0.0.39.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.96

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

Position in π

The digit sequence 10080 first appears in π at position 8,280 of the decimal expansion (the 8,280ordinal-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.