number.wiki
Live analysis

84,084

84,084 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 Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
48,048
Recamán's sequence
a(268,980) = 84,084
Square (n²)
7,070,119,056
Cube (n³)
594,483,890,704,704
Divisor count
72
σ(n) — sum of divisors
268,128
φ(n) — Euler's totient
20,160
Sum of prime factors
45

Primality

Prime factorization: 2 2 × 3 × 7 2 × 11 × 13

Nearest primes: 84,067 (−17) · 84,089 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 11 · 12 · 13 · 14 · 21 · 22 · 26 · 28 · 33 · 39 · 42 · 44 · 49 · 52 · 66 · 77 · 78 · 84 · 91 · 98 · 132 · 143 · 147 · 154 · 156 · 182 · 196 · 231 · 273 · 286 · 294 · 308 · 364 · 429 · 462 · 539 · 546 · 572 · 588 · 637 · 858 · 924 · 1001 · 1078 · 1092 · 1274 · 1617 · 1716 · 1911 · 2002 · 2156 · 2548 · 3003 · 3234 · 3822 · 4004 · 6006 · 6468 · 7007 · 7644 · 12012 · 14014 · 21021 · 28028 · 42042 (half) · 84084
Aliquot sum (sum of proper divisors): 184,044
Factor pairs (a × b = 84,084)
1 × 84084
2 × 42042
3 × 28028
4 × 21021
6 × 14014
7 × 12012
11 × 7644
12 × 7007
13 × 6468
14 × 6006
21 × 4004
22 × 3822
26 × 3234
28 × 3003
33 × 2548
39 × 2156
42 × 2002
44 × 1911
49 × 1716
52 × 1617
66 × 1274
77 × 1092
78 × 1078
84 × 1001
91 × 924
98 × 858
132 × 637
143 × 588
147 × 572
154 × 546
156 × 539
182 × 462
196 × 429
231 × 364
273 × 308
286 × 294
First multiples
84,084 · 168,168 (double) · 252,252 · 336,336 · 420,420 · 504,504 · 588,588 · 672,672 · 756,756 · 840,840

Sums & aliquot sequence

As consecutive integers: 28,027 + 28,028 + 28,029 12,009 + 12,010 + … + 12,015 10,507 + 10,508 + … + 10,514 7,639 + 7,640 + … + 7,649
Aliquot sequence: 84,084 184,044 317,100 738,388 738,444 1,277,556 2,195,340 4,831,092 9,874,508 9,874,564 10,149,244 10,149,300 27,660,780 71,667,540 187,686,828 370,700,372 381,146,668 — unresolved within range

Representations

In words
eighty-four thousand eighty-four
Ordinal
84084th
Binary
10100100001110100
Octal
244164
Hexadecimal
0x14874
Base64
AUh0
One's complement
4,294,883,211 (32-bit)
In other bases
ternary (3) 11021100020
quaternary (4) 110201310
quinary (5) 10142314
senary (6) 1445140
septenary (7) 500100
nonary (9) 137306
undecimal (11) 581a0
duodecimal (12) 407b0
tridecimal (13) 2c370
tetradecimal (14) 22900
pentadecimal (15) 19da9

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πδπδʹ
Mayan (base 20)
𝋪·𝋪·𝋤·𝋤
Chinese
八萬四千零八十四
Chinese (financial)
捌萬肆仟零捌拾肆
In other modern scripts
Eastern Arabic ٨٤٠٨٤ Devanagari ८४०८४ Bengali ৮৪০৮৪ Tamil ௮௪௦௮௪ Thai ๘๔๐๘๔ Tibetan ༨༤༠༨༤ Khmer ៨៤០៨៤ Lao ໘໔໐໘໔ Burmese ၈၄၀၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 84,084 = 1
e — Euler's number (e)
Digit 84,084 = 2
φ — Golden ratio (φ)
Digit 84,084 = 1
√2 — Pythagoras's (√2)
Digit 84,084 = 0
ln 2 — Natural log of 2
Digit 84,084 = 4
γ — Euler-Mascheroni (γ)
Digit 84,084 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84084, here are decompositions:

  • 17 + 84067 = 84084
  • 23 + 84061 = 84084
  • 31 + 84053 = 84084
  • 37 + 84047 = 84084
  • 67 + 84017 = 84084
  • 73 + 84011 = 84084
  • 97 + 83987 = 84084
  • 101 + 83983 = 84084

Showing the first eight; more decompositions exist.

Hex color
#014874
RGB(1, 72, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.116.

Address
0.1.72.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.116

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
000084084
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 84084 first appears in π at position 47,700 of the decimal expansion (the 47,700ordinal-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.