103,488
103,488 is a composite number, even.
103,488 (one hundred three thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 7² × 11. Its proper divisors sum to 243,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19440.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 884,301
- Recamán's sequence
- a(95,523) = 103,488
- Square (n²)
- 10,709,766,144
- Cube (n³)
- 1,108,332,278,710,272
- Divisor count
- 84
- σ(n) — sum of divisors
- 347,472
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 40
Primality
Prime factorization: 2 6 × 3 × 7 2 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,488 = [321; (1, 2, 3, 1, 1, 12, 1, 1, 3, 2, 1, 642)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand four hundred eighty-eight
- Ordinal
- 103488th
- Binary
- 11001010001000000
- Octal
- 312100
- Hexadecimal
- 0x19440
- Base64
- AZRA
- One's complement
- 4,294,863,807 (32-bit)
- Scientific notation
- 1.03488 × 10⁵
- As a duration
- 103,488 s = 1 day, 4 hours, 44 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ργυπηʹ
- Mayan (base 20)
- 𝋬·𝋲·𝋮·𝋨
- Chinese
- 一十萬三千四百八十八
- Chinese (financial)
- 壹拾萬參仟肆佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103488, here are decompositions:
- 5 + 103483 = 103488
- 17 + 103471 = 103488
- 31 + 103457 = 103488
- 37 + 103451 = 103488
- 67 + 103421 = 103488
- 79 + 103409 = 103488
- 89 + 103399 = 103488
- 97 + 103391 = 103488
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.148.64.
- Address
- 0.1.148.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.148.64
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 103,488 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 103488 first appears in π at position 804,255 of the decimal expansion (the 804,255ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.