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84,100

84,100 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 Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
148
Recamán's sequence
a(268,948) = 84,100
Square (n²)
7,072,810,000
Cube (n³)
594,823,321,000,000
Square root (√n)
290
Divisor count
27
σ(n) — sum of divisors
189,007
φ(n) — Euler's totient
32,480
Sum of prime factors
72

Primality

Prime factorization: 2 2 × 5 2 × 29 2

Nearest primes: 84,089 (−11) · 84,121 (+21)

Divisors & multiples

All divisors (27)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 29 · 50 · 58 · 100 · 116 · 145 · 290 · 580 · 725 · 841 · 1450 · 1682 · 2900 · 3364 · 4205 · 8410 · 16820 · 21025 · 42050 (half) · 84100
Aliquot sum (sum of proper divisors): 104,907
Factor pairs (a × b = 84,100)
1 × 84100
2 × 42050
4 × 21025
5 × 16820
10 × 8410
20 × 4205
25 × 3364
29 × 2900
50 × 1682
58 × 1450
100 × 841
116 × 725
145 × 580
290 × 290
First multiples
84,100 · 168,200 (double) · 252,300 · 336,400 · 420,500 · 504,600 · 588,700 · 672,800 · 756,900 · 841,000

Sums & aliquot sequence

As a sum of two squares: 0² + 290² = 34² + 288² = 48² + 286² = 174² + 232²
As consecutive integers: 16,818 + 16,819 + 16,820 + 16,821 + 16,822 10,509 + 10,510 + … + 10,516 3,352 + 3,353 + … + 3,376 2,886 + 2,887 + … + 2,914
Aliquot sequence: 84,100 104,907 58,417 1 0 — terminates at zero

Representations

In words
eighty-four thousand one hundred
Ordinal
84100th
Binary
10100100010000100
Octal
244204
Hexadecimal
0x14884
Base64
AUiE
One's complement
4,294,883,195 (32-bit)
In other bases
ternary (3) 11021100211
quaternary (4) 110202010
quinary (5) 10142400
senary (6) 1445204
septenary (7) 500122
nonary (9) 137324
undecimal (11) 58205
duodecimal (12) 40804
tridecimal (13) 2c383
tetradecimal (14) 22912
pentadecimal (15) 19dba

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢
Greek (Milesian)
͵πδρʹ
Mayan (base 20)
𝋪·𝋪·𝋥·𝋠
Chinese
八萬四千一百
Chinese (financial)
捌萬肆仟壹佰
In other modern scripts
Eastern Arabic ٨٤١٠٠ Devanagari ८४१०० Bengali ৮৪১০০ Tamil ௮௪௧௦௦ Thai ๘๔๑๐๐ Tibetan ༨༤༡༠༠ Khmer ៨៤១០០ Lao ໘໔໑໐໐ Burmese ၈၄၁၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 84,100 = 2
e — Euler's number (e)
Digit 84,100 = 5
φ — Golden ratio (φ)
Digit 84,100 = 2
√2 — Pythagoras's (√2)
Digit 84,100 = 4
ln 2 — Natural log of 2
Digit 84,100 = 9
γ — Euler-Mascheroni (γ)
Digit 84,100 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84100, here are decompositions:

  • 11 + 84089 = 84100
  • 41 + 84059 = 84100
  • 47 + 84053 = 84100
  • 53 + 84047 = 84100
  • 83 + 84017 = 84100
  • 89 + 84011 = 84100
  • 113 + 83987 = 84100
  • 131 + 83969 = 84100

Showing the first eight; more decompositions exist.

Hex color
#014884
RGB(1, 72, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.132.

Address
0.1.72.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.132

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

Position in π

The digit sequence 84100 first appears in π at position 210,770 of the decimal expansion (the 210,770ordinal-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.