137,368
137,368 is a composite number, even.
137,368 (one hundred thirty-seven thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 11 × 223. Its proper divisors sum to 185,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21898.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 3,024
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 863,731
- Recamán's sequence
- a(37,540) = 137,368
- Square (n²)
- 18,869,967,424
- Cube (n³)
- 2,592,129,685,100,032
- Divisor count
- 32
- σ(n) — sum of divisors
- 322,560
- φ(n) — Euler's totient
- 53,280
- Sum of prime factors
- 247
Primality
Prime factorization: 2 3 × 7 × 11 × 223
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,368 = [370; (1, 1, 1, 2, 1, 1, 8, 4, 14, 82, 3, 2, 2, 1, 1, 1, 1, 3, 1, 3, 2, 2, 8, 9, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand three hundred sixty-eight
- Ordinal
- 137368th
- Binary
- 100001100010011000
- Octal
- 414230
- Hexadecimal
- 0x21898
- Base64
- AhiY
- One's complement
- 4,294,829,927 (32-bit)
- Scientific notation
- 1.37368 × 10⁵
- As a duration
- 137,368 s = 1 day, 14 hours, 9 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζτξηʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋨·𝋨
- Chinese
- 一十三萬七千三百六十八
- Chinese (financial)
- 壹拾參萬柒仟參佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137368, here are decompositions:
- 5 + 137363 = 137368
- 29 + 137339 = 137368
- 47 + 137321 = 137368
- 89 + 137279 = 137368
- 149 + 137219 = 137368
- 167 + 137201 = 137368
- 191 + 137177 = 137368
- 251 + 137117 = 137368
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A2 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.152.
- Address
- 0.2.24.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.152
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 137,368 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 137368 first appears in π at position 80,676 of the decimal expansion (the 80,676ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.