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53,504

53,504 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
16 bits
Reversed
40,535
Recamán's sequence
a(294,444) = 53,504
Square (n²)
2,862,678,016
Cube (n³)
153,164,724,568,064
Divisor count
36
σ(n) — sum of divisors
122,640
φ(n) — Euler's totient
23,040
Sum of prime factors
46

Primality

Prime factorization: 2 8 × 11 × 19

Nearest primes: 53,503 (−1) · 53,507 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 11 · 16 · 19 · 22 · 32 · 38 · 44 · 64 · 76 · 88 · 128 · 152 · 176 · 209 · 256 · 304 · 352 · 418 · 608 · 704 · 836 · 1216 · 1408 · 1672 · 2432 · 2816 · 3344 · 4864 · 6688 · 13376 · 26752 (half) · 53504
Aliquot sum (sum of proper divisors): 69,136
Factor pairs (a × b = 53,504)
1 × 53504
2 × 26752
4 × 13376
8 × 6688
11 × 4864
16 × 3344
19 × 2816
22 × 2432
32 × 1672
38 × 1408
44 × 1216
64 × 836
76 × 704
88 × 608
128 × 418
152 × 352
176 × 304
209 × 256
First multiples
53,504 · 107,008 (double) · 160,512 · 214,016 · 267,520 · 321,024 · 374,528 · 428,032 · 481,536 · 535,040

Sums & aliquot sequence

As consecutive integers: 4,859 + 4,860 + … + 4,869 2,807 + 2,808 + … + 2,825 152 + 153 + … + 360
Aliquot sequence: 53,504 69,136 70,364 73,276 73,332 146,188 160,244 169,036 169,092 372,540 820,932 1,450,428 2,549,316 5,192,124 8,801,604 17,144,316 33,273,324 — unresolved within range

Representations

In words
fifty-three thousand five hundred four
Ordinal
53504th
Binary
1101000100000000
Octal
150400
Hexadecimal
0xD100
Base64
0QA=
One's complement
12,031 (16-bit)
In other bases
ternary (3) 2201101122
quaternary (4) 31010000
quinary (5) 3203004
senary (6) 1051412
septenary (7) 311663
nonary (9) 81348
undecimal (11) 37220
duodecimal (12) 26b68
tridecimal (13) 1b479
tetradecimal (14) 156da
pentadecimal (15) 10cbe

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵νγφδʹ
Mayan (base 20)
𝋦·𝋭·𝋯·𝋤
Chinese
五萬三千五百零四
Chinese (financial)
伍萬參仟伍佰零肆
In other modern scripts
Eastern Arabic ٥٣٥٠٤ Devanagari ५३५०४ Bengali ৫৩৫০৪ Tamil ௫௩௫௦௪ Thai ๕๓๕๐๔ Tibetan ༥༣༥༠༤ Khmer ៥៣៥០៤ Lao ໕໓໕໐໔ Burmese ၅၃၅၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 53,504 = 5
e — Euler's number (e)
Digit 53,504 = 3
φ — Golden ratio (φ)
Digit 53,504 = 4
√2 — Pythagoras's (√2)
Digit 53,504 = 4
ln 2 — Natural log of 2
Digit 53,504 = 8
γ — Euler-Mascheroni (γ)
Digit 53,504 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53504, here are decompositions:

  • 67 + 53437 = 53504
  • 97 + 53407 = 53504
  • 103 + 53401 = 53504
  • 127 + 53377 = 53504
  • 151 + 53353 = 53504
  • 181 + 53323 = 53504
  • 223 + 53281 = 53504
  • 271 + 53233 = 53504

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Tyal
U+D100
Other letter (Lo)

UTF-8 encoding: ED 84 80 (3 bytes).

Hex color
#00D100
RGB(0, 209, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.209.0.

Address
0.0.209.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.209.0

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

Calculator-display word

Type 53,504 on a seven-segment calculator, flip it 180°, and the display reads:

hOSES

A staple of calculator humor since pocket calculators put digits in front of bored students.

Position in π

The digit sequence 53504 first appears in π at position 32,894 of the decimal expansion (the 32,894ordinal-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.