103,972
103,972 is a composite number, even.
103,972 (one hundred three thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 17 × 139. Its proper divisors sum to 107,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19624.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 279,301
- Recamán's sequence
- a(94,159) = 103,972
- Square (n²)
- 10,810,176,784
- Cube (n³)
- 1,123,955,700,586,048
- Divisor count
- 24
- σ(n) — sum of divisors
- 211,680
- φ(n) — Euler's totient
- 44,160
- Sum of prime factors
- 171
Primality
Prime factorization: 2 2 × 11 × 17 × 139
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,972 = [322; (2, 4, 4, 1, 4, 2, 3, 3, 7, 9, 4, 1, 3, 2, 6, 1, 33, 13, 7, 1, 1, 1, 1, 71, …)]
Representations
- In words
- one hundred three thousand nine hundred seventy-two
- Ordinal
- 103972nd
- Binary
- 11001011000100100
- Octal
- 313044
- Hexadecimal
- 0x19624
- Base64
- AZYk
- One's complement
- 4,294,863,323 (32-bit)
- Scientific notation
- 1.03972 × 10⁵
- As a duration
- 103,972 s = 1 day, 4 hours, 52 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ργϡοβʹ
- Mayan (base 20)
- 𝋬·𝋳·𝋲·𝋬
- Chinese
- 一十萬三千九百七十二
- Chinese (financial)
- 壹拾萬參仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103972, here are decompositions:
- 3 + 103969 = 103972
- 5 + 103967 = 103972
- 53 + 103919 = 103972
- 59 + 103913 = 103972
- 83 + 103889 = 103972
- 131 + 103841 = 103972
- 269 + 103703 = 103972
- 353 + 103619 = 103972
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.36.
- Address
- 0.1.150.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.150.36
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 103,972 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 103972 first appears in π at position 219,899 of the decimal expansion (the 219,899ordinal-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.