137,116
137,116 is a composite number, even.
137,116 (one hundred thirty-seven thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 59 × 83. Its proper divisors sum to 145,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2179C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 126
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 611,731
- Square (n²)
- 18,800,797,456
- Cube (n³)
- 2,577,890,143,976,896
- Divisor count
- 24
- σ(n) — sum of divisors
- 282,240
- φ(n) — Euler's totient
- 57,072
- Sum of prime factors
- 153
Primality
Prime factorization: 2 2 × 7 × 59 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,116 = [370; (3, 2, 2, 1, 15, 20, 1, 1, 30, 2, 1, 8, 2, 8, 1, 2, 30, 1, 1, 20, 15, 1, 2, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand one hundred sixteen
- Ordinal
- 137116th
- Binary
- 100001011110011100
- Octal
- 413634
- Hexadecimal
- 0x2179C
- Base64
- Ahec
- One's complement
- 4,294,830,179 (32-bit)
- Scientific notation
- 1.37116 × 10⁵
- As a duration
- 137,116 s = 1 day, 14 hours, 5 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζριϛʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋯·𝋰
- Chinese
- 一十三萬七千一百一十六
- Chinese (financial)
- 壹拾參萬柒仟壹佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137116, here are decompositions:
- 29 + 137087 = 137116
- 137 + 136979 = 137116
- 167 + 136949 = 137116
- 173 + 136943 = 137116
- 227 + 136889 = 137116
- 233 + 136883 = 137116
- 257 + 136859 = 137116
- 347 + 136769 = 137116
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9E 9C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.156.
- Address
- 0.2.23.156
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.156
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 137,116 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 137116 first appears in π at position 340,558 of the decimal expansion (the 340,558ordinal-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.