137,046
137,046 is a composite number, even.
137,046 (one hundred thirty-seven thousand forty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 13 × 251. Its proper divisors sum to 201,642, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21756.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 640,731
- Square (n²)
- 18,781,606,116
- Cube (n³)
- 2,573,943,991,773,336
- Divisor count
- 32
- σ(n) — sum of divisors
- 338,688
- φ(n) — Euler's totient
- 36,000
- Sum of prime factors
- 276
Primality
Prime factorization: 2 × 3 × 7 × 13 × 251
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,046 = [370; (5, 14, 3, 6, 1, 2, 1, 1, 1, 4, 1, 1, 2, 1, 2, 29, 4, 29, 2, 1, 2, 1, 1, 4, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand forty-six
- Ordinal
- 137046th
- Binary
- 100001011101010110
- Octal
- 413526
- Hexadecimal
- 0x21756
- Base64
- AhdW
- One's complement
- 4,294,830,249 (32-bit)
- Scientific notation
- 1.37046 × 10⁵
- As a duration
- 137,046 s = 1 day, 14 hours, 4 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζμϛʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋬·𝋦
- Chinese
- 一十三萬七千零四十六
- Chinese (financial)
- 壹拾參萬柒仟零肆拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137046, here are decompositions:
- 17 + 137029 = 137046
- 47 + 136999 = 137046
- 53 + 136993 = 137046
- 59 + 136987 = 137046
- 67 + 136979 = 137046
- 73 + 136973 = 137046
- 83 + 136963 = 137046
- 97 + 136949 = 137046
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9D 96 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.86.
- Address
- 0.2.23.86
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.86
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 137,046 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 137046 first appears in π at position 629,156 of the decimal expansion (the 629,156ordinal-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°.