102,672
102,672 is a composite number, even.
102,672 (one hundred two thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 23 × 31. Its proper divisors sum to 206,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19110.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 276,201
- Recamán's sequence
- a(97,391) = 102,672
- Square (n²)
- 10,541,539,584
- Cube (n³)
- 1,082,320,952,168,448
- Divisor count
- 60
- σ(n) — sum of divisors
- 309,504
- φ(n) — Euler's totient
- 31,680
- Sum of prime factors
- 68
Primality
Prime factorization: 2 4 × 3 2 × 23 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√102,672 = [320; (2, 2, 1, 4, 1, 1, 2, 1, 1, 4, 1, 2, 2, 640)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred two thousand six hundred seventy-two
- Ordinal
- 102672nd
- Binary
- 11001000100010000
- Octal
- 310420
- Hexadecimal
- 0x19110
- Base64
- AZEQ
- One's complement
- 4,294,864,623 (32-bit)
- Scientific notation
- 1.02672 × 10⁵
- As a duration
- 102,672 s = 1 day, 4 hours, 31 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρβχοβʹ
- Mayan (base 20)
- 𝋬·𝋰·𝋭·𝋬
- Chinese
- 一十萬二千六百七十二
- Chinese (financial)
- 壹拾萬貳仟陸佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 102672, here are decompositions:
- 5 + 102667 = 102672
- 19 + 102653 = 102672
- 29 + 102643 = 102672
- 61 + 102611 = 102672
- 79 + 102593 = 102672
- 109 + 102563 = 102672
- 113 + 102559 = 102672
- 139 + 102533 = 102672
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.145.16.
- Address
- 0.1.145.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.145.16
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 102,672 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 102672 first appears in π at position 539,356 of the decimal expansion (the 539,356ordinal-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°.