137,016
137,016 is a composite number, even.
137,016 (one hundred thirty-seven thousand sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 11 × 173. Its proper divisors sum to 270,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21738.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 610,731
- Square (n²)
- 18,773,384,256
- Cube (n³)
- 2,572,254,017,220,096
- Divisor count
- 48
- σ(n) — sum of divisors
- 407,160
- φ(n) — Euler's totient
- 41,280
- Sum of prime factors
- 196
Primality
Prime factorization: 2 3 × 3 2 × 11 × 173
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,016 = [370; (6, 2, 1, 1, 1, 2, 7, 2, 2, 2, 1, 7, 1, 2, 2, 2, 7, 2, 1, 1, 1, 2, 6, 740)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand sixteen
- Ordinal
- 137016th
- Binary
- 100001011100111000
- Octal
- 413470
- Hexadecimal
- 0x21738
- Base64
- Ahc4
- One's complement
- 4,294,830,279 (32-bit)
- Scientific notation
- 1.37016 × 10⁵
- As a duration
- 137,016 s = 1 day, 14 hours, 3 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζιϛʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋪·𝋰
- Chinese
- 一十三萬七千零一十六
- Chinese (financial)
- 壹拾參萬柒仟零壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137016, here are decompositions:
- 17 + 136999 = 137016
- 23 + 136993 = 137016
- 29 + 136987 = 137016
- 37 + 136979 = 137016
- 43 + 136973 = 137016
- 53 + 136963 = 137016
- 67 + 136949 = 137016
- 73 + 136943 = 137016
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9C B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.56.
- Address
- 0.2.23.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.56
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 137,016 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 137016 first appears in π at position 221,402 of the decimal expansion (the 221,402ordinal-suffix:nd 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°.