553,728
553,728 is a composite number, even.
553,728 (five hundred fifty-three thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3 × 7 × 103. Its proper divisors sum to 1,146,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x87300.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 8,400
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 827,355
- Square (n²)
- 306,614,697,984
- Cube (n³)
- 169,781,143,485,284,352
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,700,608
- φ(n) — Euler's totient
- 156,672
- Sum of prime factors
- 129
Primality
Prime factorization: 2 8 × 3 × 7 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√553,728 = [744; (7, 1, 3, 92, 1, 3, 7, 1, 1, 371, 1, 1, 7, 3, 1, 92, 3, 1, 7, 1488)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- five hundred fifty-three thousand seven hundred twenty-eight
- Ordinal
- 553728th
- Binary
- 10000111001100000000
- Octal
- 2071400
- Hexadecimal
- 0x87300
- Base64
- CHMA
- One's complement
- 4,294,413,567 (32-bit)
- Scientific notation
- 5.53728 × 10⁵
- As a duration
- 553,728 s = 6 days, 9 hours, 48 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φνγψκηʹ
- Chinese
- 五十五萬三千七百二十八
- Chinese (financial)
- 伍拾伍萬參仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 553728, here are decompositions:
- 29 + 553699 = 553728
- 41 + 553687 = 553728
- 47 + 553681 = 553728
- 61 + 553667 = 553728
- 79 + 553649 = 553728
- 101 + 553627 = 553728
- 127 + 553601 = 553728
- 137 + 553591 = 553728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.8.115.0.
- Address
- 0.8.115.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.8.115.0
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 553,728 and was likely granted around 1895.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 553728 first appears in π at position 181,710 of the decimal expansion (the 181,710ordinal-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°.