103,720
103,720 is a composite number, even.
103,720 (one hundred three thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,593. Its proper divisors sum to 129,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19528.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 27,301
- Recamán's sequence
- a(94,959) = 103,720
- Square (n²)
- 10,757,838,400
- Cube (n³)
- 1,115,802,998,848,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 233,460
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 2,604
Primality
Prime factorization: 2 3 × 5 × 2593
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,720 = [322; (17, 1, 8, 7, 1, 5, 3, 1, 7, 2, 1, 1, 5, 4, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, …)]
Representations
- In words
- one hundred three thousand seven hundred twenty
- Ordinal
- 103720th
- Binary
- 11001010100101000
- Octal
- 312450
- Hexadecimal
- 0x19528
- Base64
- AZUo
- One's complement
- 4,294,863,575 (32-bit)
- Scientific notation
- 1.0372 × 10⁵
- As a duration
- 103,720 s = 1 day, 4 hours, 48 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ργψκʹ
- Mayan (base 20)
- 𝋬·𝋳·𝋦·𝋠
- Chinese
- 一十萬三千七百二十
- Chinese (financial)
- 壹拾萬參仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103720, here are decompositions:
- 17 + 103703 = 103720
- 101 + 103619 = 103720
- 107 + 103613 = 103720
- 137 + 103583 = 103720
- 167 + 103553 = 103720
- 191 + 103529 = 103720
- 263 + 103457 = 103720
- 269 + 103451 = 103720
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.40.
- Address
- 0.1.149.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.149.40
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 103,720 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 103720 first appears in π at position 477,428 of the decimal expansion (the 477,428ordinal-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.