number.wiki
Live analysis

53,004

53,004 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 Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
40,035
Recamán's sequence
a(61,116) = 53,004
Square (n²)
2,809,424,016
Cube (n³)
148,910,710,544,064
Divisor count
24
σ(n) — sum of divisors
141,568
φ(n) — Euler's totient
15,120
Sum of prime factors
645

Primality

Prime factorization: 2 2 × 3 × 7 × 631

Nearest primes: 53,003 (−1) · 53,017 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 631 · 1262 · 1893 · 2524 · 3786 · 4417 · 7572 · 8834 · 13251 · 17668 · 26502 (half) · 53004
Aliquot sum (sum of proper divisors): 88,564
Factor pairs (a × b = 53,004)
1 × 53004
2 × 26502
3 × 17668
4 × 13251
6 × 8834
7 × 7572
12 × 4417
14 × 3786
21 × 2524
28 × 1893
42 × 1262
84 × 631
First multiples
53,004 · 106,008 (double) · 159,012 · 212,016 · 265,020 · 318,024 · 371,028 · 424,032 · 477,036 · 530,040

Sums & aliquot sequence

As consecutive integers: 17,667 + 17,668 + 17,669 7,569 + 7,570 + … + 7,575 6,622 + 6,623 + … + 6,629 2,514 + 2,515 + … + 2,534
Aliquot sequence: 53,004 88,564 88,620 196,308 415,212 692,244 1,386,924 2,913,876 5,798,828 5,961,844 5,961,900 15,036,756 28,014,252 46,690,644 106,847,916 178,080,084 405,309,996 — unresolved within range

Representations

In words
fifty-three thousand four
Ordinal
53004th
Binary
1100111100001100
Octal
147414
Hexadecimal
0xCF0C
Base64
zww=
One's complement
12,531 (16-bit)
In other bases
ternary (3) 2200201010
quaternary (4) 30330030
quinary (5) 3144004
senary (6) 1045220
septenary (7) 310350
nonary (9) 80633
undecimal (11) 36906
duodecimal (12) 26810
tridecimal (13) 1b183
tetradecimal (14) 15460
pentadecimal (15) 10a89

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νγδʹ
Mayan (base 20)
𝋦·𝋬·𝋪·𝋤
Chinese
五萬三千零四
Chinese (financial)
伍萬參仟零肆
In other modern scripts
Eastern Arabic ٥٣٠٠٤ Devanagari ५३००४ Bengali ৫৩০০৪ Tamil ௫௩௦௦௪ Thai ๕๓๐๐๔ Tibetan ༥༣༠༠༤ Khmer ៥៣០០៤ Lao ໕໓໐໐໔ Burmese ၅၃၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 53,004 = 2
e — Euler's number (e)
Digit 53,004 = 0
φ — Golden ratio (φ)
Digit 53,004 = 2
√2 — Pythagoras's (√2)
Digit 53,004 = 8
ln 2 — Natural log of 2
Digit 53,004 = 6
γ — Euler-Mascheroni (γ)
Digit 53,004 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53004, here are decompositions:

  • 5 + 52999 = 53004
  • 23 + 52981 = 53004
  • 31 + 52973 = 53004
  • 37 + 52967 = 53004
  • 41 + 52963 = 53004
  • 47 + 52957 = 53004
  • 53 + 52951 = 53004
  • 67 + 52937 = 53004

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Kels
U+CF0C
Other letter (Lo)

UTF-8 encoding: EC BC 8C (3 bytes).

Hex color
#00CF0C
RGB(0, 207, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.207.12.

Address
0.0.207.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.207.12

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

Position in π

The digit sequence 53004 first appears in π at position 21,376 of the decimal expansion (the 21,376ordinal-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.