137,564
137,564 is a composite number, even.
137,564 (one hundred thirty-seven thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17³. Its proper divisors sum to 154,756, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2195C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 2,520
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 465,731
- Recamán's sequence
- a(493,699) = 137,564
- Square (n²)
- 18,923,854,096
- Cube (n³)
- 2,603,241,064,862,144
- Divisor count
- 24
- σ(n) — sum of divisors
- 292,320
- φ(n) — Euler's totient
- 55,488
- Sum of prime factors
- 62
Primality
Prime factorization: 2 2 × 7 × 17 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,564 = [370; (1, 8, 1, 1, 1, 2, 1, 5, 2, 2, 9, 2, 1, 4, 1, 2, 1, 3, 1, 6, 1, 1, 1, 2, …)]
Representations
- In words
- one hundred thirty-seven thousand five hundred sixty-four
- Ordinal
- 137564th
- Binary
- 100001100101011100
- Octal
- 414534
- Hexadecimal
- 0x2195C
- Base64
- Ahlc
- One's complement
- 4,294,829,731 (32-bit)
- Scientific notation
- 1.37564 × 10⁵
- As a duration
- 137,564 s = 1 day, 14 hours, 12 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζφξδʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋲·𝋤
- Chinese
- 一十三萬七千五百六十四
- Chinese (financial)
- 壹拾參萬柒仟伍佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137564, here are decompositions:
- 73 + 137491 = 137564
- 127 + 137437 = 137564
- 151 + 137413 = 137564
- 181 + 137383 = 137564
- 211 + 137353 = 137564
- 223 + 137341 = 137564
- 313 + 137251 = 137564
- 367 + 137197 = 137564
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A5 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.92.
- Address
- 0.2.25.92
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.92
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 137,564 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 137564 first appears in π at position 326,352 of the decimal expansion (the 326,352ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.