180,048
180,048 is a composite number, even.
180,048 (one hundred eighty thousand forty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 11² × 31. Its proper divisors sum to 347,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2BF50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 840,081
- Square (n²)
- 32,417,282,304
- Cube (n³)
- 5,836,666,844,270,592
- Divisor count
- 60
- σ(n) — sum of divisors
- 527,744
- φ(n) — Euler's totient
- 52,800
- Sum of prime factors
- 64
Primality
Prime factorization: 2 4 × 3 × 11 2 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,048 = [424; (3, 8, 2, 2, 2, 6, 1, 1, 2, 16, 1, 12, 3, 6, 1, 2, 4, 1, 2, 1, 2, 1, 4, 2, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand forty-eight
- Ordinal
- 180048th
- Binary
- 101011111101010000
- Octal
- 537520
- Hexadecimal
- 0x2BF50
- Base64
- Ar9Q
- One's complement
- 4,294,787,247 (32-bit)
- Scientific notation
- 1.80048 × 10⁵
- As a duration
- 180,048 s = 2 days, 2 hours, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρπμηʹ
- Chinese
- 一十八萬零四十八
- Chinese (financial)
- 壹拾捌萬零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180048, here are decompositions:
- 5 + 180043 = 180048
- 41 + 180007 = 180048
- 47 + 180001 = 180048
- 59 + 179989 = 180048
- 67 + 179981 = 180048
- 79 + 179969 = 180048
- 97 + 179951 = 180048
- 101 + 179947 = 180048
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AB BD 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.191.80.
- Address
- 0.2.191.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.191.80
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 180,048 and was likely granted around 1875.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 180048 first appears in π at position 909,725 of the decimal expansion (the 909,725ordinal-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°.