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Live analysis

84,000

84,000 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 Harshad / Niven

Properties

Parity
Even
Digit count
5
Digit sum
12
Digital root
3
Palindrome
No
Reversed
48
Divisor count
96
σ(n) — sum of divisors
314,496

Primality

Prime factorization: 2 5 × 3 × 5 3 × 7

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 25 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 50 · 56 · 60 · 70 · 75 · 80 · 84 · 96 · 100 · 105 · 112 · 120 · 125 · 140 · 150 · 160 · 168 · 175 · 200 · 210 · 224 · 240 · 250 · 280 · 300 · 336 · 350 · 375 · 400 · 420 · 480 · 500 · 525 · 560 · 600 · 672 · 700 · 750 · 800 · 840 · 875 · 1000 · 1050 · 1120 · 1200 · 1400 · 1500 · 1680 · 1750 · 2000 · 2100 · 2400 · 2625 · 2800 · 3000 · 3360 · 3500 · 4000 · 4200 · 5250 · 5600 · 6000 · 7000 · 8400 · 10500 · 12000 · 14000 · 16800 · 21000 · 28000 · 42000 · 84000
Aliquot sum (sum of proper divisors): 230,496
Factor pairs (a × b = 84,000)
1 × 84000
2 × 42000
3 × 28000
4 × 21000
5 × 16800
6 × 14000
7 × 12000
8 × 10500
10 × 8400
12 × 7000
14 × 6000
15 × 5600
16 × 5250
20 × 4200
21 × 4000
24 × 3500
25 × 3360
28 × 3000
30 × 2800
32 × 2625
35 × 2400
40 × 2100
42 × 2000
48 × 1750
50 × 1680
56 × 1500
60 × 1400
70 × 1200
75 × 1120
80 × 1050
84 × 1000
96 × 875
100 × 840
105 × 800
112 × 750
120 × 700
125 × 672
140 × 600
150 × 560
160 × 525
168 × 500
175 × 480
200 × 420
210 × 400
224 × 375
240 × 350
250 × 336
280 × 300
First multiples
84,000 · 168,000 · 252,000 · 336,000 · 420,000 · 504,000 · 588,000 · 672,000 · 756,000 · 840,000

Representations

In words
eighty-four thousand
Ordinal
84000th
Binary
10100100000100000
Octal
244040
Hexadecimal
0x14820
Base64
AUgg

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84000, here are decompositions:

  • 13 + 83987 = 84000
  • 17 + 83983 = 84000
  • 31 + 83969 = 84000
  • 61 + 83939 = 84000
  • 67 + 83933 = 84000
  • 79 + 83921 = 84000
  • 89 + 83911 = 84000
  • 97 + 83903 = 84000

Showing the first eight; more decompositions exist.

Hex color
#014820
RGB(1, 72, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.32.

Address
0.1.72.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.32

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
000084000
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.