54,000
54,000 is a composite number, even.
54,000 (fifty-four thousand) is an even 5-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 5³. Its proper divisors sum to 139,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xD2F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 45
- Recamán's sequence
- a(293,452) = 54,000
- Square (n²)
- 2,916,000,000
- Cube (n³)
- 157,464,000,000,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 193,440
- φ(n) — Euler's totient
- 14,400
- Sum of prime factors
- 32
Primality
Prime factorization: 2 4 × 3 3 × 5 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√54,000 = [232; (2, 1, 1, 1, 3, 3, 1, 1, 3, 2, 1, 17, 1, 8, 1, 1, 6, 51, 2, 18, 10, 1, 1, 28, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- fifty-four thousand
- Ordinal
- 54000th
- Binary
- 1101001011110000
- Octal
- 151360
- Hexadecimal
- 0xD2F0
- Base64
- 0vA=
- One's complement
- 11,535 (16-bit)
- Scientific notation
- 5.4 × 10⁴
- As a duration
- 54,000 s = 15 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵νδ
- Mayan (base 20)
- 𝋦·𝋯·𝋠·𝋠
- Chinese
- 五萬四千
- Chinese (financial)
- 伍萬肆仟
Digit at this position in famous constants
- π — Pi (π)
- Digit 54,000 = 4
- e — Euler's number (e)
- Digit 54,000 = 7
- φ — Golden ratio (φ)
- Digit 54,000 = 8
- √2 — Pythagoras's (√2)
- Digit 54,000 = 7
- ln 2 — Natural log of 2
- Digit 54,000 = 2
- γ — Euler-Mascheroni (γ)
- Digit 54,000 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 54000, here are decompositions:
- 7 + 53993 = 54000
- 13 + 53987 = 54000
- 41 + 53959 = 54000
- 61 + 53939 = 54000
- 73 + 53927 = 54000
- 83 + 53917 = 54000
- 101 + 53899 = 54000
- 103 + 53897 = 54000
Showing the first eight; more decompositions exist.
UTF-8 encoding: ED 8B B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.210.240.
- Address
- 0.0.210.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.210.240
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 54000 first appears in π at position 25,826 of the decimal expansion (the 25,826ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.