137,648
137,648 is a composite number, even.
137,648 (one hundred thirty-seven thousand six hundred forty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,229. Its proper divisors sum to 167,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 4,032
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 846,731
- Recamán's sequence
- a(493,531) = 137,648
- Square (n²)
- 18,946,971,904
- Cube (n³)
- 2,608,012,788,641,792
- Divisor count
- 20
- σ(n) — sum of divisors
- 305,040
- φ(n) — Euler's totient
- 58,944
- Sum of prime factors
- 1,244
Primality
Prime factorization: 2 4 × 7 × 1229
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,648 = [371; (106, 742)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand six hundred forty-eight
- Ordinal
- 137648th
- Binary
- 100001100110110000
- Octal
- 414660
- Hexadecimal
- 0x219B0
- Base64
- Ahmw
- One's complement
- 4,294,829,647 (32-bit)
- Scientific notation
- 1.37648 × 10⁵
- As a duration
- 137,648 s = 1 day, 14 hours, 14 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζχμηʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋢·𝋨
- Chinese
- 一十三萬七千六百四十八
- Chinese (financial)
- 壹拾參萬柒仟陸佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137648, here are decompositions:
- 61 + 137587 = 137648
- 157 + 137491 = 137648
- 211 + 137437 = 137648
- 307 + 137341 = 137648
- 397 + 137251 = 137648
- 409 + 137239 = 137648
- 439 + 137209 = 137648
- 457 + 137191 = 137648
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A6 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.176.
- Address
- 0.2.25.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.176
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 137,648 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 137648 first appears in π at position 440,317 of the decimal expansion (the 440,317ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.