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84,164

84,164 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.).
Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
768
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
46,148
Recamán's sequence
a(268,820) = 84,164
Square (n²)
7,083,578,896
Cube (n³)
596,182,334,202,944
Divisor count
12
σ(n) — sum of divisors
150,444
φ(n) — Euler's totient
41,184
Sum of prime factors
454

Primality

Prime factorization: 2 2 × 53 × 397

Nearest primes: 84,163 (−1) · 84,179 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 53 · 106 · 212 · 397 · 794 · 1588 · 21041 · 42082 (half) · 84164
Aliquot sum (sum of proper divisors): 66,280
Factor pairs (a × b = 84,164)
1 × 84164
2 × 42082
4 × 21041
53 × 1588
106 × 794
212 × 397
First multiples
84,164 · 168,328 (double) · 252,492 · 336,656 · 420,820 · 504,984 · 589,148 · 673,312 · 757,476 · 841,640

Sums & aliquot sequence

As a sum of two squares: 8² + 290² = 160² + 242²
As consecutive integers: 10,517 + 10,518 + … + 10,524 1,562 + 1,563 + … + 1,614 14 + 15 + … + 410
Aliquot sequence: 84,164 66,280 82,940 128,740 149,972 112,486 71,618 35,812 35,868 63,084 105,364 112,364 112,420 185,948 200,452 200,508 412,356 — unresolved within range

Representations

In words
eighty-four thousand one hundred sixty-four
Ordinal
84164th
Binary
10100100011000100
Octal
244304
Hexadecimal
0x148C4
Base64
AUjE
One's complement
4,294,883,131 (32-bit)
In other bases
ternary (3) 11021110012
quaternary (4) 110203010
quinary (5) 10143124
senary (6) 1445352
septenary (7) 500243
nonary (9) 137405
undecimal (11) 58263
duodecimal (12) 40858
tridecimal (13) 2c402
tetradecimal (14) 2295a
pentadecimal (15) 19e0e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πδρξδʹ
Mayan (base 20)
𝋪·𝋪·𝋨·𝋤
Chinese
八萬四千一百六十四
Chinese (financial)
捌萬肆仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٨٤١٦٤ Devanagari ८४१६४ Bengali ৮৪১৬৪ Tamil ௮௪௧௬௪ Thai ๘๔๑๖๔ Tibetan ༨༤༡༦༤ Khmer ៨៤១៦៤ Lao ໘໔໑໖໔ Burmese ၈၄၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 84,164 = 1
e — Euler's number (e)
Digit 84,164 = 4
φ — Golden ratio (φ)
Digit 84,164 = 1
√2 — Pythagoras's (√2)
Digit 84,164 = 1
ln 2 — Natural log of 2
Digit 84,164 = 4
γ — Euler-Mascheroni (γ)
Digit 84,164 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84164, here are decompositions:

  • 37 + 84127 = 84164
  • 43 + 84121 = 84164
  • 97 + 84067 = 84164
  • 103 + 84061 = 84164
  • 181 + 83983 = 84164
  • 307 + 83857 = 84164
  • 331 + 83833 = 84164
  • 373 + 83791 = 84164

Showing the first eight; more decompositions exist.

Hex color
#0148C4
RGB(1, 72, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.196.

Address
0.1.72.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.196

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

Position in π

The digit sequence 84164 first appears in π at position 61,961 of the decimal expansion (the 61,961ordinal-suffix:st 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.