137,909
137,909 is a prime, odd.
137,909 (one hundred thirty-seven thousand nine hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21AB5.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 909,731
- Recamán's sequence
- a(493,009) = 137,909
- Square (n²)
- 19,018,892,281
- Cube (n³)
- 2,622,876,415,580,429
- Divisor count
- 2
- σ(n) — sum of divisors
- 137,910
- φ(n) — Euler's totient
- 137,908
Primality
137,909 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,909 = [371; (2, 1, 3, 2, 1, 6, 1, 25, 1, 1, 1, 9, 1, 1, 20, 1, 2, 3, 2, 4, 1, 1, 2, 2, …)]
Representations
- In words
- one hundred thirty-seven thousand nine hundred nine
- Ordinal
- 137909th
- Binary
- 100001101010110101
- Octal
- 415265
- Hexadecimal
- 0x21AB5
- Base64
- Ahq1
- One's complement
- 4,294,829,386 (32-bit)
- Scientific notation
- 1.37909 × 10⁵
- As a duration
- 137,909 s = 1 day, 14 hours, 18 minutes, 29 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζϡθʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋯·𝋩
- Chinese
- 一十三萬七千九百零九
- Chinese (financial)
- 壹拾參萬柒仟玖佰零玖
Also seen as
UTF-8 encoding: F0 A1 AA B5 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.181.
- Address
- 0.2.26.181
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.181
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 137,909 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 137909 first appears in π at position 774,177 of the decimal expansion (the 774,177ordinal-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
- 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.