100,072
100,072 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 270,001
- Square (n²)
- 10,014,405,184
- Cube (n³)
- 1,002,161,555,573,248
- Divisor count
- 16
- σ(n) — sum of divisors
- 214,560
- φ(n) — Euler's totient
- 42,864
- Sum of prime factors
- 1,800
Primality
Prime factorization: 2 3 × 7 × 1787
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one hundred thousand seventy-two
- Ordinal
- 100072nd
- Binary
- 11000011011101000
- Octal
- 303350
- Hexadecimal
- 0x186E8
- Base64
- AYbo
- One's complement
- 4,294,867,223 (32-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ροβʹ
- Mayan (base 20)
- 𝋬·𝋪·𝋣·𝋬
- Chinese
- 一十萬零七十二
- Chinese (financial)
- 壹拾萬零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100072, here are decompositions:
- 3 + 100069 = 100072
- 23 + 100049 = 100072
- 29 + 100043 = 100072
- 53 + 100019 = 100072
- 83 + 99989 = 100072
- 101 + 99971 = 100072
- 149 + 99923 = 100072
- 191 + 99881 = 100072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 9B A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.232.
- Address
- 0.1.134.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.134.232
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 100,072 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 100072 first appears in π at position 665,982 of the decimal expansion (the 665,982ordinal-suffix:nd 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.