108,672
108,672 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 276,801
- Recamán's sequence
- a(80,203) = 108,672
- Square (n²)
- 11,809,603,584
- Cube (n³)
- 1,283,373,240,680,448
- Divisor count
- 32
- σ(n) — sum of divisors
- 289,680
- φ(n) — Euler's totient
- 36,096
- Sum of prime factors
- 300
Primality
Prime factorization: 2 7 × 3 × 283
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√108,672 = [329; (1, 1, 1, 8, 2, 1, 2, 1, 4, 1, 4, 3, 13, 1, 2, 1, 1, 10, 1, 163, 1, 10, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eight thousand six hundred seventy-two
- Ordinal
- 108672nd
- Binary
- 11010100010000000
- Octal
- 324200
- Hexadecimal
- 0x1A880
- Base64
- AaiA
- One's complement
- 4,294,858,623 (32-bit)
- Scientific notation
- 1.08672 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρηχοβʹ
- Mayan (base 20)
- 𝋭·𝋫·𝋭·𝋬
- Chinese
- 一十萬八千六百七十二
- Chinese (financial)
- 壹拾萬捌仟陸佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108672, here are decompositions:
- 23 + 108649 = 108672
- 29 + 108643 = 108672
- 41 + 108631 = 108672
- 101 + 108571 = 108672
- 131 + 108541 = 108672
- 139 + 108533 = 108672
- 173 + 108499 = 108672
- 211 + 108461 = 108672
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.168.128.
- Address
- 0.1.168.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.168.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 108,672 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.
Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.
The digit sequence 108672 first appears in π at position 347,426 of the decimal expansion (the 347,426ordinal-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.