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81,984

81,984 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 Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
30
Digit product
2,304
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
48,918
Recamán's sequence
a(23,687) = 81,984
Square (n²)
6,721,376,256
Cube (n³)
551,045,310,971,904
Divisor count
56
σ(n) — sum of divisors
251,968
φ(n) — Euler's totient
23,040
Sum of prime factors
83

Primality

Prime factorization: 2 6 × 3 × 7 × 61

Nearest primes: 81,973 (−11) · 82,003 (+19)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 61 · 64 · 84 · 96 · 112 · 122 · 168 · 183 · 192 · 224 · 244 · 336 · 366 · 427 · 448 · 488 · 672 · 732 · 854 · 976 · 1281 · 1344 · 1464 · 1708 · 1952 · 2562 · 2928 · 3416 · 3904 · 5124 · 5856 · 6832 · 10248 · 11712 · 13664 · 20496 · 27328 · 40992 (half) · 81984
Aliquot sum (sum of proper divisors): 169,984
Factor pairs (a × b = 81,984)
1 × 81984
2 × 40992
3 × 27328
4 × 20496
6 × 13664
7 × 11712
8 × 10248
12 × 6832
14 × 5856
16 × 5124
21 × 3904
24 × 3416
28 × 2928
32 × 2562
42 × 1952
48 × 1708
56 × 1464
61 × 1344
64 × 1281
84 × 976
96 × 854
112 × 732
122 × 672
168 × 488
183 × 448
192 × 427
224 × 366
244 × 336
First multiples
81,984 · 163,968 (double) · 245,952 · 327,936 · 409,920 · 491,904 · 573,888 · 655,872 · 737,856 · 819,840

Sums & aliquot sequence

As consecutive integers: 27,327 + 27,328 + 27,329 11,709 + 11,710 + … + 11,715 3,894 + 3,895 + … + 3,914 1,314 + 1,315 + … + 1,374
Aliquot sequence: 81,984 169,984 173,996 130,504 136,616 119,554 69,572 52,186 27,194 13,600 21,554 13,306 6,656 7,666 3,836 3,892 3,948 — unresolved within range

Representations

In words
eighty-one thousand nine hundred eighty-four
Ordinal
81984th
Binary
10100000001000000
Octal
240100
Hexadecimal
0x14040
Base64
AUBA
One's complement
4,294,885,311 (32-bit)
In other bases
ternary (3) 11011110110
quaternary (4) 110001000
quinary (5) 10110414
senary (6) 1431320
septenary (7) 461010
nonary (9) 134413
undecimal (11) 56661
duodecimal (12) 3b540
tridecimal (13) 2b416
tetradecimal (14) 21c40
pentadecimal (15) 19459

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵παϡπδʹ
Mayan (base 20)
𝋪·𝋤·𝋳·𝋤
Chinese
八萬一千九百八十四
Chinese (financial)
捌萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٨١٩٨٤ Devanagari ८१९८४ Bengali ৮১৯৮৪ Tamil ௮௧௯௮௪ Thai ๘๑๙๘๔ Tibetan ༨༡༩༨༤ Khmer ៨១៩៨៤ Lao ໘໑໙໘໔ Burmese ၈၁၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 81,984 = 7
e — Euler's number (e)
Digit 81,984 = 4
φ — Golden ratio (φ)
Digit 81,984 = 0
√2 — Pythagoras's (√2)
Digit 81,984 = 0
ln 2 — Natural log of 2
Digit 81,984 = 9
γ — Euler-Mascheroni (γ)
Digit 81,984 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 81984, here are decompositions:

  • 11 + 81973 = 81984
  • 13 + 81971 = 81984
  • 17 + 81967 = 81984
  • 31 + 81953 = 81984
  • 41 + 81943 = 81984
  • 47 + 81937 = 81984
  • 53 + 81931 = 81984
  • 83 + 81901 = 81984

Showing the first eight; more decompositions exist.

Unicode codepoint
𔁀
Egyptian Hieroglyph-14040
U+14040
Other letter (Lo)

UTF-8 encoding: F0 94 81 80 (4 bytes).

Hex color
#014040
RGB(1, 64, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.64.64.

Address
0.1.64.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.64.64

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

Position in π

The digit sequence 81984 first appears in π at position 249,380 of the decimal expansion (the 249,380ordinal-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.