42,024
42,024 is a composite number, even.
42,024 (forty-two thousand twenty-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 17 × 103. Its proper divisors sum to 70,296, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xA428.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- Yes
- Bit width
- 16 bits
- Recamán's sequence
- a(151,575) = 42,024
- Square (n²)
- 1,766,016,576
- Cube (n³)
- 74,215,080,589,824
- Divisor count
- 32
- σ(n) — sum of divisors
- 112,320
- φ(n) — Euler's totient
- 13,056
- Sum of prime factors
- 129
Primality
Prime factorization: 2 3 × 3 × 17 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,024 = [204; (1, 408)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand twenty-four
- Ordinal
- 42024th
- Binary
- 1010010000101000
- Octal
- 122050
- Hexadecimal
- 0xA428
- Base64
- pCg=
- One's complement
- 23,511 (16-bit)
- Scientific notation
- 4.2024 × 10⁴
- As a duration
- 42,024 s = 11 hours, 40 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵μβκδʹ
- Mayan (base 20)
- 𝋥·𝋥·𝋡·𝋤
- Chinese
- 四萬二千零二十四
- Chinese (financial)
- 肆萬貳仟零貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,024 = 7
- e — Euler's number (e)
- Digit 42,024 = 6
- φ — Golden ratio (φ)
- Digit 42,024 = 5
- √2 — Pythagoras's (√2)
- Digit 42,024 = 3
- ln 2 — Natural log of 2
- Digit 42,024 = 1
- γ — Euler-Mascheroni (γ)
- Digit 42,024 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42024, here are decompositions:
- 5 + 42019 = 42024
- 7 + 42017 = 42024
- 11 + 42013 = 42024
- 41 + 41983 = 42024
- 43 + 41981 = 42024
- 67 + 41957 = 42024
- 71 + 41953 = 42024
- 83 + 41941 = 42024
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 90 A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.40.
- Address
- 0.0.164.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.164.40
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42024 first appears in π at position 14,589 of the decimal expansion (the 14,589ordinal-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°.