137,872
137,872 is a composite number, even.
137,872 (one hundred thirty-seven thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,231. Its proper divisors sum to 167,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 2,352
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 278,731
- Recamán's sequence
- a(493,083) = 137,872
- Square (n²)
- 19,008,688,384
- Cube (n³)
- 2,620,765,884,878,848
- Divisor count
- 20
- σ(n) — sum of divisors
- 305,536
- φ(n) — Euler's totient
- 59,040
- Sum of prime factors
- 1,246
Primality
Prime factorization: 2 4 × 7 × 1231
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,872 = [371; (3, 4, 1, 2, 5, 1, 7, 1, 2, 3, 1, 5, 1, 1, 1, 2, 1, 1, 6, 9, 61, 1, 3, 2, …)]
Representations
- In words
- one hundred thirty-seven thousand eight hundred seventy-two
- Ordinal
- 137872nd
- Binary
- 100001101010010000
- Octal
- 415220
- Hexadecimal
- 0x21A90
- Base64
- AhqQ
- One's complement
- 4,294,829,423 (32-bit)
- Scientific notation
- 1.37872 × 10⁵
- As a duration
- 137,872 s = 1 day, 14 hours, 17 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλζωοβʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋭·𝋬
- Chinese
- 一十三萬七千八百七十二
- Chinese (financial)
- 壹拾參萬柒仟捌佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137872, here are decompositions:
- 3 + 137869 = 137872
- 5 + 137867 = 137872
- 23 + 137849 = 137872
- 41 + 137831 = 137872
- 101 + 137771 = 137872
- 149 + 137723 = 137872
- 173 + 137699 = 137872
- 233 + 137639 = 137872
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AA 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.144.
- Address
- 0.2.26.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.144
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 137,872 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.