102,004
102,004 is a composite number, even.
102,004 (one hundred two thousand four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 3,643. Its proper divisors sum to 102,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18E74.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 400,201
- Square (n²)
- 10,404,816,016
- Cube (n³)
- 1,061,332,852,896,064
- Divisor count
- 12
- σ(n) — sum of divisors
- 204,064
- φ(n) — Euler's totient
- 43,704
- Sum of prime factors
- 3,654
Primality
Prime factorization: 2 2 × 7 × 3643
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√102,004 = [319; (2, 1, 1, 1, 2, 7, 7, 2, 7, 1, 1, 13, 1, 70, 23, 1, 1, 1, 4, 5, 1, 1, 1, 4, …)]
Representations
- In words
- one hundred two thousand four
- Ordinal
- 102004th
- Binary
- 11000111001110100
- Octal
- 307164
- Hexadecimal
- 0x18E74
- Base64
- AY50
- One's complement
- 4,294,865,291 (32-bit)
- Scientific notation
- 1.02004 × 10⁵
- As a duration
- 102,004 s = 1 day, 4 hours, 20 minutes, 4 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρβδʹ
- Mayan (base 20)
- 𝋬·𝋯·𝋠·𝋤
- Chinese
- 一十萬二千零四
- Chinese (financial)
- 壹拾萬貳仟零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 102004, here are decompositions:
- 3 + 102001 = 102004
- 5 + 101999 = 102004
- 17 + 101987 = 102004
- 41 + 101963 = 102004
- 47 + 101957 = 102004
- 83 + 101921 = 102004
- 113 + 101891 = 102004
- 131 + 101873 = 102004
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.116.
- Address
- 0.1.142.116
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.142.116
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 102,004 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 102004 first appears in π at position 568,919 of the decimal expansion (the 568,919ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.