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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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
48
Recamán's sequence
a(269,148) = 84,000
Square (n²)
7,056,000,000
Cube (n³)
592,704,000,000,000
Divisor count
96
σ(n) — sum of divisors
314,496
φ(n) — Euler's totient
19,200
Sum of prime factors
35

Primality

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

Nearest primes: 83,987 (−13) · 84,011 (+11)

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 (half) · 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 (double) · 252,000 · 336,000 · 420,000 · 504,000 · 588,000 · 672,000 · 756,000 · 840,000

Sums & aliquot sequence

As consecutive integers: 27,999 + 28,000 + 28,001 16,798 + 16,799 + 16,800 + 16,801 + 16,802 11,997 + 11,998 + … + 12,003 5,593 + 5,594 + … + 5,607
Aliquot sequence: 84,000 230,496 475,356 792,484 1,013,852 1,013,908 1,058,092 1,264,340 2,049,964 2,123,576 2,778,664 3,492,536 3,077,104 2,884,816 3,391,568 3,775,384 3,303,476 — unresolved within range

Representations

In words
eighty-four thousand
Ordinal
84000th
Binary
10100100000100000
Octal
244040
Hexadecimal
0x14820
Base64
AUgg
One's complement
4,294,883,295 (32-bit)
In other bases
ternary (3) 11021020010
quaternary (4) 110200200
quinary (5) 10142000
senary (6) 1444520
septenary (7) 466620
nonary (9) 137203
undecimal (11) 58124
duodecimal (12) 40740
tridecimal (13) 2c307
tetradecimal (14) 22880
pentadecimal (15) 19d50

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Greek (Milesian)
͵πδ
Mayan (base 20)
𝋪·𝋪·𝋠·𝋠
Chinese
八萬四千
Chinese (financial)
捌萬肆仟
In other modern scripts
Eastern Arabic ٨٤٠٠٠ Devanagari ८४००० Bengali ৮৪০০০ Tamil ௮௪௦௦௦ Thai ๘๔๐๐๐ Tibetan ༨༤༠༠༠ Khmer ៨៤០០០ Lao ໘໔໐໐໐ Burmese ၈၄၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 84,000 = 9
e — Euler's number (e)
Digit 84,000 = 7
φ — Golden ratio (φ)
Digit 84,000 = 2
√2 — Pythagoras's (√2)
Digit 84,000 = 0
ln 2 — Natural log of 2
Digit 84,000 = 4
γ — Euler-Mascheroni (γ)
Digit 84,000 = 6

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.

Position in π

The digit sequence 84000 first appears in π at position 14,635 of the decimal expansion (the 14,635ordinal-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.