137,032
137,032 is a composite number, even.
137,032 (one hundred thirty-seven thousand thirty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,447. Its proper divisors sum to 156,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21748.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 230,731
- Square (n²)
- 18,777,769,024
- Cube (n³)
- 2,573,155,244,896,768
- Divisor count
- 16
- σ(n) — sum of divisors
- 293,760
- φ(n) — Euler's totient
- 58,704
- Sum of prime factors
- 2,460
Primality
Prime factorization: 2 3 × 7 × 2447
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,032 = [370; (5, 1, 1, 1, 1, 4, 1, 3, 1, 12, 5, 10, 11, 1, 1, 1, 7, 1, 5, 1, 3, 1, 1, 1, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand thirty-two
- Ordinal
- 137032nd
- Binary
- 100001011101001000
- Octal
- 413510
- Hexadecimal
- 0x21748
- Base64
- AhdI
- One's complement
- 4,294,830,263 (32-bit)
- Scientific notation
- 1.37032 × 10⁵
- As a duration
- 137,032 s = 1 day, 14 hours, 3 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλζλβʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋫·𝋬
- Chinese
- 一十三萬七千零三十二
- Chinese (financial)
- 壹拾參萬柒仟零參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137032, here are decompositions:
- 3 + 137029 = 137032
- 41 + 136991 = 137032
- 53 + 136979 = 137032
- 59 + 136973 = 137032
- 83 + 136949 = 137032
- 89 + 136943 = 137032
- 149 + 136883 = 137032
- 173 + 136859 = 137032
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9D 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.72.
- Address
- 0.2.23.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.72
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 137,032 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 137032 first appears in π at position 464,381 of the decimal expansion (the 464,381ordinal-suffix:st 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.