137,768
137,768 is a composite number, even.
137,768 (one hundred thirty-seven thousand seven hundred sixty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 17 × 1,013. Written other ways, in hexadecimal, 0x21A28.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 32
- Digit product
- 7,056
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 867,731
- Recamán's sequence
- a(493,291) = 137,768
- Square (n²)
- 18,980,021,824
- Cube (n³)
- 2,614,839,646,648,832
- Divisor count
- 16
- σ(n) — sum of divisors
- 273,780
- φ(n) — Euler's totient
- 64,768
- Sum of prime factors
- 1,036
Primality
Prime factorization: 2 3 × 17 × 1013
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,768 = [371; (5, 1, 5, 2, 2, 7, 1, 14, 3, 1, 2, 1, 1, 2, 1, 5, 2, 2, 2, 3, 185, 3, 2, 2, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand seven hundred sixty-eight
- Ordinal
- 137768th
- Binary
- 100001101000101000
- Octal
- 415050
- Hexadecimal
- 0x21A28
- Base64
- Ahoo
- One's complement
- 4,294,829,527 (32-bit)
- Scientific notation
- 1.37768 × 10⁵
- As a duration
- 137,768 s = 1 day, 14 hours, 16 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζψξηʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋨·𝋨
- Chinese
- 一十三萬七千七百六十八
- Chinese (financial)
- 壹拾參萬柒仟柒佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137768, here are decompositions:
- 31 + 137737 = 137768
- 61 + 137707 = 137768
- 109 + 137659 = 137768
- 181 + 137587 = 137768
- 277 + 137491 = 137768
- 331 + 137437 = 137768
- 409 + 137359 = 137768
- 571 + 137197 = 137768
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A8 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.40.
- Address
- 0.2.26.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.40
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 137,768 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 137768 first appears in π at position 408,172 of the decimal expansion (the 408,172ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.