513,315
513,315 is a composite number, odd.
513,315 (five hundred thirteen thousand three hundred fifteen) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3² × 5 × 11 × 17 × 61. Its proper divisors sum to 531,261, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x7D523.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 225
- Digital root
- 9
- Palindrome
- Yes
- Bit width
- 19 bits
- Square (n²)
- 263,492,289,225
- Cube (n³)
- 135,254,544,443,530,875
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,044,576
- φ(n) — Euler's totient
- 230,400
- Sum of prime factors
- 100
Primality
Prime factorization: 3 2 × 5 × 11 × 17 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,315 = [716; (2, 5, 1, 3, 8, 8, 2, 1, 3, 1, 7, 1, 1, 2, 5, 1, 1, 1, 1, 158, 1, 1, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand three hundred fifteen
- Ordinal
- 513315th
- Binary
- 1111101010100100011
- Octal
- 1752443
- Hexadecimal
- 0x7D523
- Base64
- B9Uj
- One's complement
- 4,294,453,980 (32-bit)
- Scientific notation
- 5.13315 × 10⁵
- As a duration
- 513,315 s = 5 days, 22 hours, 35 minutes, 15 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵φιγτιεʹ
- Chinese
- 五十一萬三千三百一十五
- Chinese (financial)
- 伍拾壹萬參仟參佰壹拾伍
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.35.
- Address
- 0.7.213.35
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.213.35
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 513,315 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 513315 first appears in π at position 618,566 of the decimal expansion (the 618,566ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.