131,616
131,616 is a composite number, even.
131,616 (one hundred thirty-one thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 457. Its proper divisors sum to 243,486, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20220.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 108
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 616,131
- Recamán's sequence
- a(229,140) = 131,616
- Square (n²)
- 17,322,771,456
- Cube (n³)
- 2,279,953,887,952,896
- Divisor count
- 36
- σ(n) — sum of divisors
- 375,102
- φ(n) — Euler's totient
- 43,776
- Sum of prime factors
- 473
Primality
Prime factorization: 2 5 × 3 2 × 457
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√131,616 = [362; (1, 3, 1, 2, 1, 9, 4, 1, 14, 1, 1, 1, 2, 1, 2, 1, 1, 19, 1, 1, 2, 1, 2, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-one thousand six hundred sixteen
- Ordinal
- 131616th
- Binary
- 100000001000100000
- Octal
- 401040
- Hexadecimal
- 0x20220
- Base64
- AgIg
- One's complement
- 4,294,835,679 (32-bit)
- Scientific notation
- 1.31616 × 10⁵
- As a duration
- 131,616 s = 1 day, 12 hours, 33 minutes, 36 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλαχιϛʹ
- Mayan (base 20)
- 𝋰·𝋩·𝋠·𝋰
- Chinese
- 一十三萬一千六百一十六
- Chinese (financial)
- 壹拾參萬壹仟陸佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131616, here are decompositions:
- 5 + 131611 = 131616
- 73 + 131543 = 131616
- 97 + 131519 = 131616
- 109 + 131507 = 131616
- 127 + 131489 = 131616
- 137 + 131479 = 131616
- 139 + 131477 = 131616
- 167 + 131449 = 131616
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 88 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.32.
- Address
- 0.2.2.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.2.32
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 131,616 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 131616 first appears in π at position 360,792 of the decimal expansion (the 360,792ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.