137,713
137,713 is a prime, odd.
137,713 (one hundred thirty-seven thousand seven hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x219F1.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 441
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 317,731
- Recamán's sequence
- a(493,401) = 137,713
- Square (n²)
- 18,964,870,369
- Cube (n³)
- 2,611,709,193,126,097
- Divisor count
- 2
- σ(n) — sum of divisors
- 137,714
- φ(n) — Euler's totient
- 137,712
Primality
137,713 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,713 = [371; (10, 3, 3, 1, 6, 1, 2, 1, 2, 8, 14, 2, 3, 4, 18, 1, 3, 1, 14, 2, 1, 6, 2, 6, …)]
Representations
- In words
- one hundred thirty-seven thousand seven hundred thirteen
- Ordinal
- 137713th
- Binary
- 100001100111110001
- Octal
- 414761
- Hexadecimal
- 0x219F1
- Base64
- Ahnx
- One's complement
- 4,294,829,582 (32-bit)
- Scientific notation
- 1.37713 × 10⁵
- As a duration
- 137,713 s = 1 day, 14 hours, 15 minutes, 13 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζψιγʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋥·𝋭
- Chinese
- 一十三萬七千七百一十三
- Chinese (financial)
- 壹拾參萬柒仟柒佰壹拾參
Also seen as
UTF-8 encoding: F0 A1 A7 B1 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.241.
- Address
- 0.2.25.241
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.241
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 137,713 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 137713 first appears in π at position 306,487 of the decimal expansion (the 306,487ordinal-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.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.