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83,072

83,072 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 Evil Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
27,038
Recamán's sequence
a(116,547) = 83,072
Square (n²)
6,900,957,184
Cube (n³)
573,276,315,189,248
Divisor count
32
σ(n) — sum of divisors
183,600
φ(n) — Euler's totient
37,120
Sum of prime factors
84

Primality

Prime factorization: 2 7 × 11 × 59

Nearest primes: 83,071 (−1) · 83,077 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 59 · 64 · 88 · 118 · 128 · 176 · 236 · 352 · 472 · 649 · 704 · 944 · 1298 · 1408 · 1888 · 2596 · 3776 · 5192 · 7552 · 10384 · 20768 · 41536 (half) · 83072
Aliquot sum (sum of proper divisors): 100,528
Factor pairs (a × b = 83,072)
1 × 83072
2 × 41536
4 × 20768
8 × 10384
11 × 7552
16 × 5192
22 × 3776
32 × 2596
44 × 1888
59 × 1408
64 × 1298
88 × 944
118 × 704
128 × 649
176 × 472
236 × 352
First multiples
83,072 · 166,144 (double) · 249,216 · 332,288 · 415,360 · 498,432 · 581,504 · 664,576 · 747,648 · 830,720

Sums & aliquot sequence

As consecutive integers: 7,547 + 7,548 + … + 7,557 1,379 + 1,380 + … + 1,437 197 + 198 + … + 452
Aliquot sequence: 83,072 100,528 99,360 263,520 673,920 1,917,900 4,096,472 3,584,428 2,688,328 2,352,302 1,329,634 672,506 336,256 361,424 454,930 504,686 462,994 — unresolved within range

Representations

In words
eighty-three thousand seventy-two
Ordinal
83072nd
Binary
10100010010000000
Octal
242200
Hexadecimal
0x14480
Base64
AUSA
One's complement
4,294,884,223 (32-bit)
In other bases
ternary (3) 11012221202
quaternary (4) 110102000
quinary (5) 10124242
senary (6) 1440332
septenary (7) 464123
nonary (9) 135852
undecimal (11) 57460
duodecimal (12) 400a8
tridecimal (13) 2ba72
tetradecimal (14) 223ba
pentadecimal (15) 19932

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵πγοβʹ
Mayan (base 20)
𝋪·𝋧·𝋭·𝋬
Chinese
八萬三千零七十二
Chinese (financial)
捌萬參仟零柒拾貳
In other modern scripts
Eastern Arabic ٨٣٠٧٢ Devanagari ८३०७२ Bengali ৮৩০৭২ Tamil ௮௩௦௭௨ Thai ๘๓๐๗๒ Tibetan ༨༣༠༧༢ Khmer ៨៣០៧២ Lao ໘໓໐໗໒ Burmese ၈၃၀၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 83,072 = 4
e — Euler's number (e)
Digit 83,072 = 1
φ — Golden ratio (φ)
Digit 83,072 = 6
√2 — Pythagoras's (√2)
Digit 83,072 = 4
ln 2 — Natural log of 2
Digit 83,072 = 4
γ — Euler-Mascheroni (γ)
Digit 83,072 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 83072, here are decompositions:

  • 13 + 83059 = 83072
  • 109 + 82963 = 83072
  • 181 + 82891 = 83072
  • 313 + 82759 = 83072
  • 349 + 82723 = 83072
  • 373 + 82699 = 83072
  • 421 + 82651 = 83072
  • 439 + 82633 = 83072

Showing the first eight; more decompositions exist.

Unicode codepoint
𔒀
Anatolian Hieroglyph A107B
U+14480
Other letter (Lo)

UTF-8 encoding: F0 94 92 80 (4 bytes).

Hex color
#014480
RGB(1, 68, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.68.128.

Address
0.1.68.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.68.128

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000083072
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 83072 first appears in π at position 7,195 of the decimal expansion (the 7,195ordinal-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.