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13,980

13,980 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 Gapful Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
8,931
Recamán's sequence
a(20,756) = 13,980
Square (n²)
195,440,400
Cube (n³)
2,732,256,792,000
Divisor count
24
σ(n) — sum of divisors
39,312
φ(n) — Euler's totient
3,712
Sum of prime factors
245

Primality

Prime factorization: 2 2 × 3 × 5 × 233

Nearest primes: 13,967 (−13) · 13,997 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 233 · 466 · 699 · 932 · 1165 · 1398 · 2330 · 2796 · 3495 · 4660 · 6990 (half) · 13980
Aliquot sum (sum of proper divisors): 25,332
Factor pairs (a × b = 13,980)
1 × 13980
2 × 6990
3 × 4660
4 × 3495
5 × 2796
6 × 2330
10 × 1398
12 × 1165
15 × 932
20 × 699
30 × 466
60 × 233
First multiples
13,980 · 27,960 (double) · 41,940 · 55,920 · 69,900 · 83,880 · 97,860 · 111,840 · 125,820 · 139,800

Sums & aliquot sequence

As consecutive integers: 4,659 + 4,660 + 4,661 2,794 + 2,795 + 2,796 + 2,797 + 2,798 1,744 + 1,745 + … + 1,751 925 + 926 + … + 939
Aliquot sequence: 13,980 25,332 33,804 54,116 42,316 33,284 26,440 33,140 36,496 34,246 17,126 8,566 4,286 2,146 1,274 1,120 1,904 — unresolved within range

Representations

In words
thirteen thousand nine hundred eighty
Ordinal
13980th
Binary
11011010011100
Octal
33234
Hexadecimal
0x369C
Base64
Npw=
One's complement
51,555 (16-bit)
In other bases
ternary (3) 201011210
quaternary (4) 3122130
quinary (5) 421410
senary (6) 144420
septenary (7) 55521
nonary (9) 21153
undecimal (11) a55a
duodecimal (12) 8110
tridecimal (13) 6495
tetradecimal (14) 5148
pentadecimal (15) 4220

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγϡπʹ
Mayan (base 20)
𝋡·𝋮·𝋳·𝋠
Chinese
一萬三千九百八十
Chinese (financial)
壹萬參仟玖佰捌拾
In other modern scripts
Eastern Arabic ١٣٩٨٠ Devanagari १३९८० Bengali ১৩৯৮০ Tamil ௧௩௯௮௦ Thai ๑๓๙๘๐ Tibetan ༡༣༩༨༠ Khmer ១៣៩៨០ Lao ໑໓໙໘໐ Burmese ၁၃၉၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,980 = 2
e — Euler's number (e)
Digit 13,980 = 5
φ — Golden ratio (φ)
Digit 13,980 = 1
√2 — Pythagoras's (√2)
Digit 13,980 = 6
ln 2 — Natural log of 2
Digit 13,980 = 3
γ — Euler-Mascheroni (γ)
Digit 13,980 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13980, here are decompositions:

  • 13 + 13967 = 13980
  • 17 + 13963 = 13980
  • 47 + 13933 = 13980
  • 59 + 13921 = 13980
  • 67 + 13913 = 13980
  • 73 + 13907 = 13980
  • 79 + 13901 = 13980
  • 97 + 13883 = 13980

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-369C
U+369C
Other letter (Lo)

UTF-8 encoding: E3 9A 9C (3 bytes).

Hex color
#00369C
RGB(0, 54, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.156.

Address
0.0.54.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.156

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

Position in π

The digit sequence 13980 first appears in π at position 114,610 of the decimal expansion (the 114,610ordinal-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.