103,840
103,840 is a composite number, even.
103,840 (one hundred three thousand eight hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 11 × 59. Its proper divisors sum to 168,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x195A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 48,301
- Recamán's sequence
- a(94,423) = 103,840
- Square (n²)
- 10,782,745,600
- Cube (n³)
- 1,119,680,303,104,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 272,160
- φ(n) — Euler's totient
- 37,120
- Sum of prime factors
- 85
Primality
Prime factorization: 2 5 × 5 × 11 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,840 = [322; (4, 7, 1, 2, 2, 2, 3, 1, 5, 1, 15, 1, 2, 17, 1, 1, 3, 1, 1, 17, 2, 1, 15, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand eight hundred forty
- Ordinal
- 103840th
- Binary
- 11001010110100000
- Octal
- 312640
- Hexadecimal
- 0x195A0
- Base64
- AZWg
- One's complement
- 4,294,863,455 (32-bit)
- Scientific notation
- 1.0384 × 10⁵
- As a duration
- 103,840 s = 1 day, 4 hours, 50 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ργωμʹ
- Mayan (base 20)
- 𝋬·𝋳·𝋬·𝋠
- Chinese
- 一十萬三千八百四十
- Chinese (financial)
- 壹拾萬參仟捌佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103840, here are decompositions:
- 3 + 103837 = 103840
- 29 + 103811 = 103840
- 53 + 103787 = 103840
- 71 + 103769 = 103840
- 137 + 103703 = 103840
- 197 + 103643 = 103840
- 227 + 103613 = 103840
- 257 + 103583 = 103840
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.160.
- Address
- 0.1.149.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.149.160
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 103,840 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 103840 first appears in π at position 37,956 of the decimal expansion (the 37,956ordinal-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.