100,048
100,048 is a composite number, even.
100,048 (one hundred thousand forty-eight) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 13² × 37. Its proper divisors sum to 115,526, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x186D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 840,001
- Square (n²)
- 10,009,602,304
- Cube (n³)
- 1,001,440,691,310,592
- Divisor count
- 30
- σ(n) — sum of divisors
- 215,574
- φ(n) — Euler's totient
- 44,928
- Sum of prime factors
- 71
Primality
Prime factorization: 2 4 × 13 2 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√100,048 = [316; (3, 3, 2, 2, 3, 1, 1, 3, 5, 1, 1, 2, 1, 3, 39, 3, 1, 2, 1, 1, 5, 3, 1, 1, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thousand forty-eight
- Ordinal
- 100048th
- Binary
- 11000011011010000
- Octal
- 303320
- Hexadecimal
- 0x186D0
- Base64
- AYbQ
- One's complement
- 4,294,867,247 (32-bit)
- Scientific notation
- 1.00048 × 10⁵
- As a duration
- 100,048 s = 1 day, 3 hours, 47 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρμηʹ
- Mayan (base 20)
- 𝋬·𝋪·𝋢·𝋨
- Chinese
- 一十萬零四十八
- Chinese (financial)
- 壹拾萬零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100048, here are decompositions:
- 5 + 100043 = 100048
- 29 + 100019 = 100048
- 59 + 99989 = 100048
- 167 + 99881 = 100048
- 239 + 99809 = 100048
- 281 + 99767 = 100048
- 359 + 99689 = 100048
- 467 + 99581 = 100048
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 9B 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.208.
- Address
- 0.1.134.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.134.208
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 100,048 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 100048 first appears in π at position 437,152 of the decimal expansion (the 437,152ordinal-suffix:nd 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.