137,352
137,352 is a composite number, even.
137,352 (one hundred thirty-seven thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 59 × 97. Its proper divisors sum to 215,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21888.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 630
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 253,731
- Recamán's sequence
- a(37,508) = 137,352
- Square (n²)
- 18,865,571,904
- Cube (n³)
- 2,591,224,032,158,208
- Divisor count
- 32
- σ(n) — sum of divisors
- 352,800
- φ(n) — Euler's totient
- 44,544
- Sum of prime factors
- 165
Primality
Prime factorization: 2 3 × 3 × 59 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,352 = [370; (1, 1, 1, 1, 3, 3, 1, 1, 3, 2, 15, 3, 92, 3, 15, 2, 3, 1, 1, 3, 3, 1, 1, 1, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand three hundred fifty-two
- Ordinal
- 137352nd
- Binary
- 100001100010001000
- Octal
- 414210
- Hexadecimal
- 0x21888
- Base64
- AhiI
- One's complement
- 4,294,829,943 (32-bit)
- Scientific notation
- 1.37352 × 10⁵
- As a duration
- 137,352 s = 1 day, 14 hours, 9 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλζτνβʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋧·𝋬
- Chinese
- 一十三萬七千三百五十二
- Chinese (financial)
- 壹拾參萬柒仟參佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137352, here are decompositions:
- 11 + 137341 = 137352
- 13 + 137339 = 137352
- 31 + 137321 = 137352
- 73 + 137279 = 137352
- 79 + 137273 = 137352
- 101 + 137251 = 137352
- 113 + 137239 = 137352
- 151 + 137201 = 137352
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A2 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.136.
- Address
- 0.2.24.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.136
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 137,352 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 137352 first appears in π at position 477,027 of the decimal expansion (the 477,027ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.