137,957
137,957 is a prime, odd.
137,957 (one hundred thirty-seven thousand nine hundred fifty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21AE5.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 32
- Digit product
- 6,615
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 759,731
- Recamán's sequence
- a(492,913) = 137,957
- Square (n²)
- 19,032,133,849
- Cube (n³)
- 2,625,616,089,406,493
- Divisor count
- 2
- σ(n) — sum of divisors
- 137,958
- φ(n) — Euler's totient
- 137,956
Primality
137,957 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,957 = [371; (2, 2, 1, 6, 4, 2, 1, 1, 1, 2, 6, 1, 38, 4, 3, 2, 2, 3, 4, 38, 1, 6, 2, 1, …)]
Period length 33 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand nine hundred fifty-seven
- Ordinal
- 137957th
- Binary
- 100001101011100101
- Octal
- 415345
- Hexadecimal
- 0x21AE5
- Base64
- Ahrl
- One's complement
- 4,294,829,338 (32-bit)
- Scientific notation
- 1.37957 × 10⁵
- As a duration
- 137,957 s = 1 day, 14 hours, 19 minutes, 17 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζϡνζʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋱·𝋱
- Chinese
- 一十三萬七千九百五十七
- Chinese (financial)
- 壹拾參萬柒仟玖佰伍拾柒
Also seen as
UTF-8 encoding: F0 A1 AB A5 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.229.
- Address
- 0.2.26.229
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.229
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 137,957 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 137957 first appears in π at position 81,153 of the decimal expansion (the 81,153ordinal-suffix:rd 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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.