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53,300

53,300 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.).

53,300 (fifty-three thousand three hundred) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 13 × 41. Its proper divisors sum to 74,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD034.

Abundant Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
335
Recamán's sequence
a(294,852) = 53,300
Square (n²)
2,840,890,000
Cube (n³)
151,419,437,000,000
Divisor count
36
σ(n) — sum of divisors
127,596
φ(n) — Euler's totient
19,200
Sum of prime factors
68

Primality

Prime factorization: 2 2 × 5 2 × 13 × 41

Nearest primes: 53,299 (−1) · 53,309 (+9)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 25 · 26 · 41 · 50 · 52 · 65 · 82 · 100 · 130 · 164 · 205 · 260 · 325 · 410 · 533 · 650 · 820 · 1025 · 1066 · 1300 · 2050 · 2132 · 2665 · 4100 · 5330 · 10660 · 13325 · 26650 (half) · 53300
Aliquot sum (sum of proper divisors): 74,296
Factor pairs (a × b = 53,300)
1 × 53300
2 × 26650
4 × 13325
5 × 10660
10 × 5330
13 × 4100
20 × 2665
25 × 2132
26 × 2050
41 × 1300
50 × 1066
52 × 1025
65 × 820
82 × 650
100 × 533
130 × 410
164 × 325
205 × 260
First multiples
53,300 · 106,600 (double) · 159,900 · 213,200 · 266,500 · 319,800 · 373,100 · 426,400 · 479,700 · 533,000

Sums & aliquot sequence

As a sum of two squares: 20² + 230² = 70² + 220² = 76² + 218² = 122² + 196²
As consecutive integers: 10,658 + 10,659 + 10,660 + 10,661 + 10,662 6,659 + 6,660 + … + 6,666 4,094 + 4,095 + … + 4,106 2,120 + 2,121 + … + 2,144
Aliquot sequence: 53,300 74,296 69,344 80,344 87,236 67,576 59,144 51,766 39,962 28,078 14,762 9,976 9,824 9,580 10,580 12,646 6,326 — unresolved within range

Continued fraction of √n

√53,300 = [230; (1, 6, 1, 1, 2, 1, 114, 1, 2, 1, 1, 6, 1, 460)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
fifty-three thousand three hundred
Ordinal
53300th
Binary
1101000000110100
Octal
150064
Hexadecimal
0xD034
Base64
0DQ=
One's complement
12,235 (16-bit)
Scientific notation
5.33 × 10⁴
As a duration
53,300 s = 14 hours, 48 minutes, 20 seconds
In other bases
ternary (3) 2201010002
quaternary (4) 31000310
quinary (5) 3201200
senary (6) 1050432
septenary (7) 311252
nonary (9) 81102
undecimal (11) 37055
duodecimal (12) 26a18
tridecimal (13) 1b350
tetradecimal (14) 155d2
pentadecimal (15) 10bd5

As an angle

53,300° = 148 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢
Greek (Milesian)
͵νγτʹ
Mayan (base 20)
𝋦·𝋭·𝋥·𝋠
Chinese
五萬三千三百
Chinese (financial)
伍萬參仟參佰
In other modern scripts
Eastern Arabic ٥٣٣٠٠ Devanagari ५३३०० Bengali ৫৩৩০০ Tamil ௫௩௩௦௦ Thai ๕๓๓๐๐ Tibetan ༥༣༣༠༠ Khmer ៥៣៣០០ Lao ໕໓໓໐໐ Burmese ၅၃၃၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 53,300 = 0
e — Euler's number (e)
Digit 53,300 = 5
φ — Golden ratio (φ)
Digit 53,300 = 7
√2 — Pythagoras's (√2)
Digit 53,300 = 2
ln 2 — Natural log of 2
Digit 53,300 = 7
γ — Euler-Mascheroni (γ)
Digit 53,300 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53300, here are decompositions:

  • 19 + 53281 = 53300
  • 31 + 53269 = 53300
  • 61 + 53239 = 53300
  • 67 + 53233 = 53300
  • 103 + 53197 = 53300
  • 127 + 53173 = 53300
  • 139 + 53161 = 53300
  • 151 + 53149 = 53300

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Kwi
U+D034
Other letter (Lo)

UTF-8 encoding: ED 80 B4 (3 bytes).

Hex color
#00D034
RGB(0, 208, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.208.52.

Address
0.0.208.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.208.52

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

Position in π

The digit sequence 53300 first appears in π at position 51,155 of the decimal expansion (the 51,155ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.