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54,500

54,500 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.).

54,500 (fifty-four thousand five hundred) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5³ × 109. Its proper divisors sum to 65,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD4E4.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
545
Recamán's sequence
a(59,720) = 54,500
Square (n²)
2,970,250,000
Cube (n³)
161,878,625,000,000
Divisor count
24
σ(n) — sum of divisors
120,120
φ(n) — Euler's totient
21,600
Sum of prime factors
128

Primality

Prime factorization: 2 2 × 5 3 × 109

Nearest primes: 54,499 (−1) · 54,503 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 109 · 125 · 218 · 250 · 436 · 500 · 545 · 1090 · 2180 · 2725 · 5450 · 10900 · 13625 · 27250 (half) · 54500
Aliquot sum (sum of proper divisors): 65,620
Factor pairs (a × b = 54,500)
1 × 54500
2 × 27250
4 × 13625
5 × 10900
10 × 5450
20 × 2725
25 × 2180
50 × 1090
100 × 545
109 × 500
125 × 436
218 × 250
First multiples
54,500 · 109,000 (double) · 163,500 · 218,000 · 272,500 · 327,000 · 381,500 · 436,000 · 490,500 · 545,000

Sums & aliquot sequence

As a sum of two squares: 26² + 232² = 40² + 230² = 106² + 208² = 160² + 170²
As consecutive integers: 10,898 + 10,899 + 10,900 + 10,901 + 10,902 6,809 + 6,810 + … + 6,816 2,168 + 2,169 + … + 2,192 1,343 + 1,344 + … + 1,382
Aliquot sequence: 54,500 65,620 81,044 60,790 48,650 55,510 69,482 51,928 45,452 41,404 37,724 28,300 33,328 31,276 31,332 52,444 52,500 — unresolved within range

Continued fraction of √n

√54,500 = [233; (2, 4, 1, 2, 1, 17, 1, 15, 6, 1, 1, 18, 7, 4, 7, 18, 1, 1, 6, 15, 1, 17, 1, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
fifty-four thousand five hundred
Ordinal
54500th
Binary
1101010011100100
Octal
152344
Hexadecimal
0xD4E4
Base64
1OQ=
One's complement
11,035 (16-bit)
Scientific notation
5.45 × 10⁴
As a duration
54,500 s = 15 hours, 8 minutes, 20 seconds
In other bases
ternary (3) 2202202112
quaternary (4) 31103210
quinary (5) 3221000
senary (6) 1100152
septenary (7) 314615
nonary (9) 82675
undecimal (11) 37a46
duodecimal (12) 27658
tridecimal (13) 1ba64
tetradecimal (14) 15c0c
pentadecimal (15) 11235

As an angle

54,500° = 151 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵νδφʹ
Mayan (base 20)
𝋦·𝋰·𝋥·𝋠
Chinese
五萬四千五百
Chinese (financial)
伍萬肆仟伍佰
In other modern scripts
Eastern Arabic ٥٤٥٠٠ Devanagari ५४५०० Bengali ৫৪৫০০ Tamil ௫௪௫௦௦ Thai ๕๔๕๐๐ Tibetan ༥༤༥༠༠ Khmer ៥៤៥០០ Lao ໕໔໕໐໐ Burmese ၅၄၅၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 54,500 = 2
e — Euler's number (e)
Digit 54,500 = 1
φ — Golden ratio (φ)
Digit 54,500 = 7
√2 — Pythagoras's (√2)
Digit 54,500 = 8
ln 2 — Natural log of 2
Digit 54,500 = 9
γ — Euler-Mascheroni (γ)
Digit 54,500 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 54500, here are decompositions:

  • 3 + 54497 = 54500
  • 7 + 54493 = 54500
  • 31 + 54469 = 54500
  • 79 + 54421 = 54500
  • 97 + 54403 = 54500
  • 139 + 54361 = 54500
  • 181 + 54319 = 54500
  • 223 + 54277 = 54500

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Pwik
U+D4E4
Other letter (Lo)

UTF-8 encoding: ED 93 A4 (3 bytes).

Hex color
#00D4E4
RGB(0, 212, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.212.228.

Address
0.0.212.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.212.228

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

Position in π

The digit sequence 54500 first appears in π at position 103,602 of the decimal expansion (the 103,602ordinal-suffix:nd 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.