number.wiki
Live analysis

10,164

10,164 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
46,101
Recamán's sequence
a(5,587) = 10,164
Square (n²)
103,306,896
Cube (n³)
1,050,011,290,944
Divisor count
36
σ(n) — sum of divisors
29,792
φ(n) — Euler's totient
2,640
Sum of prime factors
36

Primality

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

Nearest primes: 10,163 (−1) · 10,169 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 11 · 12 · 14 · 21 · 22 · 28 · 33 · 42 · 44 · 66 · 77 · 84 · 121 · 132 · 154 · 231 · 242 · 308 · 363 · 462 · 484 · 726 · 847 · 924 · 1452 · 1694 · 2541 · 3388 · 5082 (half) · 10164
Aliquot sum (sum of proper divisors): 19,628
Factor pairs (a × b = 10,164)
1 × 10164
2 × 5082
3 × 3388
4 × 2541
6 × 1694
7 × 1452
11 × 924
12 × 847
14 × 726
21 × 484
22 × 462
28 × 363
33 × 308
42 × 242
44 × 231
66 × 154
77 × 132
84 × 121
First multiples
10,164 · 20,328 (double) · 30,492 · 40,656 · 50,820 · 60,984 · 71,148 · 81,312 · 91,476 · 101,640

Sums & aliquot sequence

As consecutive integers: 3,387 + 3,388 + 3,389 1,449 + 1,450 + … + 1,455 1,267 + 1,268 + … + 1,274 919 + 920 + … + 929
Aliquot sequence: 10,164 19,628 19,684 22,876 26,404 30,044 33,796 38,780 54,628 54,684 111,300 263,676 465,668 465,724 465,780 1,026,060 2,325,540 — unresolved within range

Representations

In words
ten thousand one hundred sixty-four
Ordinal
10164th
Binary
10011110110100
Octal
23664
Hexadecimal
0x27B4
Base64
J7Q=
One's complement
55,371 (16-bit)
In other bases
ternary (3) 111221110
quaternary (4) 2132310
quinary (5) 311124
senary (6) 115020
septenary (7) 41430
nonary (9) 14843
undecimal (11) 7700
duodecimal (12) 5a70
tridecimal (13) 481b
tetradecimal (14) 39c0
pentadecimal (15) 3029

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιρξδʹ
Mayan (base 20)
𝋡·𝋥·𝋨·𝋤
Chinese
一萬零一百六十四
Chinese (financial)
壹萬零壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٠١٦٤ Devanagari १०१६४ Bengali ১০১৬৪ Tamil ௧௦௧௬௪ Thai ๑๐๑๖๔ Tibetan ༡༠༡༦༤ Khmer ១០១៦៤ Lao ໑໐໑໖໔ Burmese ၁၀၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,164 = 6
e — Euler's number (e)
Digit 10,164 = 2
φ — Golden ratio (φ)
Digit 10,164 = 9
√2 — Pythagoras's (√2)
Digit 10,164 = 5
ln 2 — Natural log of 2
Digit 10,164 = 7
γ — Euler-Mascheroni (γ)
Digit 10,164 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10164, here are decompositions:

  • 5 + 10159 = 10164
  • 13 + 10151 = 10164
  • 23 + 10141 = 10164
  • 31 + 10133 = 10164
  • 53 + 10111 = 10164
  • 61 + 10103 = 10164
  • 71 + 10093 = 10164
  • 73 + 10091 = 10164

Showing the first eight; more decompositions exist.

Unicode codepoint
Black-Feathered South East Arrow
U+27B4
Other symbol (So)

UTF-8 encoding: E2 9E B4 (3 bytes).

Hex color
#0027B4
RGB(0, 39, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.180.

Address
0.0.39.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.180

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

Position in π

The digit sequence 10164 first appears in π at position 151,243 of the decimal expansion (the 151,243ordinal-suffix:rd 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.