137,104
137,104 is a composite number, even.
137,104 (one hundred thirty-seven thousand one hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 19 × 41. Its proper divisors sum to 175,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21790.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 401,731
- Square (n²)
- 18,797,506,816
- Cube (n³)
- 2,577,213,374,500,864
- Divisor count
- 40
- σ(n) — sum of divisors
- 312,480
- φ(n) — Euler's totient
- 57,600
- Sum of prime factors
- 79
Primality
Prime factorization: 2 4 × 11 × 19 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,104 = [370; (3, 1, 1, 1, 2, 3, 1, 2, 1, 3, 2, 1, 1, 1, 3, 740)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand one hundred four
- Ordinal
- 137104th
- Binary
- 100001011110010000
- Octal
- 413620
- Hexadecimal
- 0x21790
- Base64
- AheQ
- One's complement
- 4,294,830,191 (32-bit)
- Scientific notation
- 1.37104 × 10⁵
- As a duration
- 137,104 s = 1 day, 14 hours, 5 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζρδʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋯·𝋤
- Chinese
- 一十三萬七千一百零四
- Chinese (financial)
- 壹拾參萬柒仟壹佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137104, here are decompositions:
- 17 + 137087 = 137104
- 113 + 136991 = 137104
- 131 + 136973 = 137104
- 263 + 136841 = 137104
- 293 + 136811 = 137104
- 353 + 136751 = 137104
- 503 + 136601 = 137104
- 557 + 136547 = 137104
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9E 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.144.
- Address
- 0.2.23.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.144
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 137,104 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 137104 first appears in π at position 709,073 of the decimal expansion (the 709,073ordinal-suffix:rd 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.