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31,980

31,980 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 Practical Number Recamán's Sequence Semiperfect Number Smith Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
8,913
Recamán's sequence
a(13,375) = 31,980
Square (n²)
1,022,720,400
Cube (n³)
32,706,598,392,000
Divisor count
48
σ(n) — sum of divisors
98,784
φ(n) — Euler's totient
7,680
Sum of prime factors
66

Primality

Prime factorization: 2 2 × 3 × 5 × 13 × 41

Nearest primes: 31,973 (−7) · 31,981 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 41 · 52 · 60 · 65 · 78 · 82 · 123 · 130 · 156 · 164 · 195 · 205 · 246 · 260 · 390 · 410 · 492 · 533 · 615 · 780 · 820 · 1066 · 1230 · 1599 · 2132 · 2460 · 2665 · 3198 · 5330 · 6396 · 7995 · 10660 · 15990 (half) · 31980
Aliquot sum (sum of proper divisors): 66,804
Factor pairs (a × b = 31,980)
1 × 31980
2 × 15990
3 × 10660
4 × 7995
5 × 6396
6 × 5330
10 × 3198
12 × 2665
13 × 2460
15 × 2132
20 × 1599
26 × 1230
30 × 1066
39 × 820
41 × 780
52 × 615
60 × 533
65 × 492
78 × 410
82 × 390
123 × 260
130 × 246
156 × 205
164 × 195
First multiples
31,980 · 63,960 (double) · 95,940 · 127,920 · 159,900 · 191,880 · 223,860 · 255,840 · 287,820 · 319,800

Sums & aliquot sequence

As consecutive integers: 10,659 + 10,660 + 10,661 6,394 + 6,395 + 6,396 + 6,397 + 6,398 3,994 + 3,995 + … + 4,001 2,454 + 2,455 + … + 2,466
Aliquot sequence: 31,980 66,804 97,836 138,708 212,006 110,698 79,094 41,434 20,720 35,824 33,616 37,808 40,312 35,288 37,072 45,264 79,728 — unresolved within range

Representations

In words
thirty-one thousand nine hundred eighty
Ordinal
31980th
Binary
111110011101100
Octal
76354
Hexadecimal
0x7CEC
Base64
fOw=
One's complement
33,555 (16-bit)
In other bases
ternary (3) 1121212110
quaternary (4) 13303230
quinary (5) 2010410
senary (6) 404020
septenary (7) 162144
nonary (9) 47773
undecimal (11) 22033
duodecimal (12) 16610
tridecimal (13) 11730
tetradecimal (14) b924
pentadecimal (15) 9720

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵λαϡπʹ
Mayan (base 20)
𝋣·𝋳·𝋳·𝋠
Chinese
三萬一千九百八十
Chinese (financial)
參萬壹仟玖佰捌拾
In other modern scripts
Eastern Arabic ٣١٩٨٠ Devanagari ३१९८० Bengali ৩১৯৮০ Tamil ௩௧௯௮௦ Thai ๓๑๙๘๐ Tibetan ༣༡༩༨༠ Khmer ៣១៩៨០ Lao ໓໑໙໘໐ Burmese ၃၁၉၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 31,980 = 4
e — Euler's number (e)
Digit 31,980 = 7
φ — Golden ratio (φ)
Digit 31,980 = 4
√2 — Pythagoras's (√2)
Digit 31,980 = 1
ln 2 — Natural log of 2
Digit 31,980 = 5
γ — Euler-Mascheroni (γ)
Digit 31,980 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31980, here are decompositions:

  • 7 + 31973 = 31980
  • 17 + 31963 = 31980
  • 23 + 31957 = 31980
  • 73 + 31907 = 31980
  • 89 + 31891 = 31980
  • 97 + 31883 = 31980
  • 107 + 31873 = 31980
  • 131 + 31849 = 31980

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7Cec
U+7CEC
Other letter (Lo)

UTF-8 encoding: E7 B3 AC (3 bytes).

Hex color
#007CEC
RGB(0, 124, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.124.236.

Address
0.0.124.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.124.236

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

Position in π

The digit sequence 31980 first appears in π at position 768,265 of the decimal expansion (the 768,265ordinal-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.