42,084
42,084 is a composite number, even.
42,084 (forty-two thousand eighty-four) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 167. Its proper divisors sum to 80,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA464.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 48,024
- Recamán's sequence
- a(151,455) = 42,084
- Square (n²)
- 1,771,063,056
- Cube (n³)
- 74,533,417,648,704
- Divisor count
- 36
- σ(n) — sum of divisors
- 122,304
- φ(n) — Euler's totient
- 11,952
- Sum of prime factors
- 184
Primality
Prime factorization: 2 2 × 3 2 × 7 × 167
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,084 = [205; (6, 1, 19, 1, 1, 1, 11, 16, 3, 14, 3, 16, 11, 1, 1, 1, 19, 1, 6, 410)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand eighty-four
- Ordinal
- 42084th
- Binary
- 1010010001100100
- Octal
- 122144
- Hexadecimal
- 0xA464
- Base64
- pGQ=
- One's complement
- 23,451 (16-bit)
- Scientific notation
- 4.2084 × 10⁴
- As a duration
- 42,084 s = 11 hours, 41 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵μβπδʹ
- Mayan (base 20)
- 𝋥·𝋥·𝋤·𝋤
- Chinese
- 四萬二千零八十四
- Chinese (financial)
- 肆萬貳仟零捌拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,084 = 9
- e — Euler's number (e)
- Digit 42,084 = 6
- φ — Golden ratio (φ)
- Digit 42,084 = 8
- √2 — Pythagoras's (√2)
- Digit 42,084 = 6
- ln 2 — Natural log of 2
- Digit 42,084 = 5
- γ — Euler-Mascheroni (γ)
- Digit 42,084 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42084, here are decompositions:
- 11 + 42073 = 42084
- 13 + 42071 = 42084
- 23 + 42061 = 42084
- 41 + 42043 = 42084
- 61 + 42023 = 42084
- 67 + 42017 = 42084
- 71 + 42013 = 42084
- 101 + 41983 = 42084
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 91 A4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.100.
- Address
- 0.0.164.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.164.100
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42084 first appears in π at position 105,156 of the decimal expansion (the 105,156ordinal-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°.