42,000
42,000 is a composite number, even.
42,000 (forty-two thousand) is an even 5-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5³ × 7. Its proper divisors sum to 112,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA410.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 24
- Recamán's sequence
- a(151,623) = 42,000
- Square (n²)
- 1,764,000,000
- Cube (n³)
- 74,088,000,000,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 154,752
- φ(n) — Euler's totient
- 9,600
- Sum of prime factors
- 33
Primality
Prime factorization: 2 4 × 3 × 5 3 × 7
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,000 = [204; (1, 15, 2, 1, 1, 15, 1, 3, 1, 15, 1, 1, 2, 15, 1, 408)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand
- Ordinal
- 42000th
- Binary
- 1010010000010000
- Octal
- 122020
- Hexadecimal
- 0xA410
- Base64
- pBA=
- One's complement
- 23,535 (16-bit)
- Scientific notation
- 4.2 × 10⁴
- As a duration
- 42,000 s = 11 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼
- Greek (Milesian)
- ͵μβ
- Mayan (base 20)
- 𝋥·𝋥·𝋠·𝋠
- Chinese
- 四萬二千
- Chinese (financial)
- 肆萬貳仟
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,000 = 4
- e — Euler's number (e)
- Digit 42,000 = 9
- φ — Golden ratio (φ)
- Digit 42,000 = 5
- √2 — Pythagoras's (√2)
- Digit 42,000 = 1
- ln 2 — Natural log of 2
- Digit 42,000 = 1
- γ — Euler-Mascheroni (γ)
- Digit 42,000 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42000, here are decompositions:
- 17 + 41983 = 42000
- 19 + 41981 = 42000
- 31 + 41969 = 42000
- 41 + 41959 = 42000
- 43 + 41957 = 42000
- 47 + 41953 = 42000
- 53 + 41947 = 42000
- 59 + 41941 = 42000
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 90 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.16.
- Address
- 0.0.164.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.164.16
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42000 first appears in π at position 213,698 of the decimal expansion (the 213,698ordinal-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°.