83,028
83,028 is a composite number, even.
83,028 (eighty-three thousand twenty-eight) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 17 × 37. Its proper divisors sum to 146,796, more than the number itself, making it an abundant number. It is the 407th triangular number. Written other ways, in hexadecimal, 0x14454.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 82,038
- Recamán's sequence
- a(116,635) = 83,028
- Square (n²)
- 6,893,648,784
- Cube (n³)
- 572,365,871,237,952
- Divisor count
- 48
- σ(n) — sum of divisors
- 229,824
- φ(n) — Euler's totient
- 23,040
- Sum of prime factors
- 72
Primality
Prime factorization: 2 2 × 3 × 11 × 17 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√83,028 = [288; (6, 1, 6, 11, 1, 1, 1, 1, 2, 35, 1, 1, 1, 2, 1, 2, 1, 16, 1, 2, 1, 2, 1, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- eighty-three thousand twenty-eight
- Ordinal
- 83028th
- Binary
- 10100010001010100
- Octal
- 242124
- Hexadecimal
- 0x14454
- Base64
- AURU
- One's complement
- 4,294,884,267 (32-bit)
- Scientific notation
- 8.3028 × 10⁴
- As a duration
- 83,028 s = 23 hours, 3 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵πγκηʹ
- Mayan (base 20)
- 𝋪·𝋧·𝋫·𝋨
- Chinese
- 八萬三千零二十八
- Chinese (financial)
- 捌萬參仟零貳拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 83,028 = 1
- e — Euler's number (e)
- Digit 83,028 = 4
- φ — Golden ratio (φ)
- Digit 83,028 = 3
- √2 — Pythagoras's (√2)
- Digit 83,028 = 2
- ln 2 — Natural log of 2
- Digit 83,028 = 4
- γ — Euler-Mascheroni (γ)
- Digit 83,028 = 4
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 83028, here are decompositions:
- 5 + 83023 = 83028
- 19 + 83009 = 83028
- 31 + 82997 = 83028
- 47 + 82981 = 83028
- 89 + 82939 = 83028
- 137 + 82891 = 83028
- 139 + 82889 = 83028
- 181 + 82847 = 83028
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 94 91 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.68.84.
- Address
- 0.1.68.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.68.84
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 83028 first appears in π at position 85,035 of the decimal expansion (the 85,035ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.