104,880
104,880 is a composite number, even.
104,880 (one hundred four thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 19 × 23. Its proper divisors sum to 252,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x199B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 88,401
- Recamán's sequence
- a(91,431) = 104,880
- Square (n²)
- 10,999,814,400
- Cube (n³)
- 1,153,660,534,272,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 357,120
- φ(n) — Euler's totient
- 25,344
- Sum of prime factors
- 58
Primality
Prime factorization: 2 4 × 3 × 5 × 19 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√104,880 = [323; (1, 5, 1, 2, 1, 39, 1, 2, 1, 5, 1, 646)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred four thousand eight hundred eighty
- Ordinal
- 104880th
- Binary
- 11001100110110000
- Octal
- 314660
- Hexadecimal
- 0x199B0
- Base64
- AZmw
- One's complement
- 4,294,862,415 (32-bit)
- Scientific notation
- 1.0488 × 10⁵
- As a duration
- 104,880 s = 1 day, 5 hours, 8 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρδωπʹ
- Mayan (base 20)
- 𝋭·𝋢·𝋤·𝋠
- Chinese
- 一十萬四千八百八十
- Chinese (financial)
- 壹拾萬肆仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104880, here are decompositions:
- 11 + 104869 = 104880
- 29 + 104851 = 104880
- 31 + 104849 = 104880
- 53 + 104827 = 104880
- 79 + 104801 = 104880
- 101 + 104779 = 104880
- 107 + 104773 = 104880
- 137 + 104743 = 104880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.176.
- Address
- 0.1.153.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.153.176
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 104,880 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 104880 first appears in π at position 83,657 of the decimal expansion (the 83,657ordinal-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°.