84,042
84,042 is a composite number, even.
84,042 (eighty-four thousand forty-two) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 7 × 23 × 29. Its proper divisors sum to 140,598, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1484A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 24,048
- Recamán's sequence
- a(269,064) = 84,042
- Square (n²)
- 7,063,057,764
- Cube (n³)
- 593,593,500,602,088
- Divisor count
- 48
- σ(n) — sum of divisors
- 224,640
- φ(n) — Euler's totient
- 22,176
- Sum of prime factors
- 67
Primality
Prime factorization: 2 × 3 2 × 7 × 23 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√84,042 = [289; (1, 8, 1, 578)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- eighty-four thousand forty-two
- Ordinal
- 84042nd
- Binary
- 10100100001001010
- Octal
- 244112
- Hexadecimal
- 0x1484A
- Base64
- AUhK
- One's complement
- 4,294,883,253 (32-bit)
- Scientific notation
- 8.4042 × 10⁴
- As a duration
- 84,042 s = 23 hours, 20 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵πδμβʹ
- Mayan (base 20)
- 𝋪·𝋪·𝋢·𝋢
- Chinese
- 八萬四千零四十二
- Chinese (financial)
- 捌萬肆仟零肆拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 84,042 = 6
- e — Euler's number (e)
- Digit 84,042 = 6
- φ — Golden ratio (φ)
- Digit 84,042 = 6
- √2 — Pythagoras's (√2)
- Digit 84,042 = 3
- ln 2 — Natural log of 2
- Digit 84,042 = 0
- γ — Euler-Mascheroni (γ)
- Digit 84,042 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 84042, here are decompositions:
- 31 + 84011 = 84042
- 59 + 83983 = 84042
- 73 + 83969 = 84042
- 103 + 83939 = 84042
- 109 + 83933 = 84042
- 131 + 83911 = 84042
- 139 + 83903 = 84042
- 151 + 83891 = 84042
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.74.
- Address
- 0.1.72.74
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.72.74
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 84042 first appears in π at position 5,713 of the decimal expansion (the 5,713ordinal-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°.