137,928
137,928 is a composite number, even.
137,928 (one hundred thirty-seven thousand nine hundred twenty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 7 × 821. Its proper divisors sum to 256,632, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AC8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 3,024
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 829,731
- Recamán's sequence
- a(492,971) = 137,928
- Square (n²)
- 19,024,133,184
- Cube (n³)
- 2,623,960,641,802,752
- Divisor count
- 32
- σ(n) — sum of divisors
- 394,560
- φ(n) — Euler's totient
- 39,360
- Sum of prime factors
- 837
Primality
Prime factorization: 2 3 × 3 × 7 × 821
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,928 = [371; (2, 1, 1, 2, 2, 1, 1, 1, 1, 3, 4, 3, 1, 25, 1, 3, 4, 3, 1, 1, 1, 1, 2, 2, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand nine hundred twenty-eight
- Ordinal
- 137928th
- Binary
- 100001101011001000
- Octal
- 415310
- Hexadecimal
- 0x21AC8
- Base64
- AhrI
- One's complement
- 4,294,829,367 (32-bit)
- Scientific notation
- 1.37928 × 10⁵
- As a duration
- 137,928 s = 1 day, 14 hours, 18 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζϡκηʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋰·𝋨
- Chinese
- 一十三萬七千九百二十八
- Chinese (financial)
- 壹拾參萬柒仟玖佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137928, here are decompositions:
- 17 + 137911 = 137928
- 19 + 137909 = 137928
- 59 + 137869 = 137928
- 61 + 137867 = 137928
- 79 + 137849 = 137928
- 97 + 137831 = 137928
- 101 + 137827 = 137928
- 137 + 137791 = 137928
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AB 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.200.
- Address
- 0.2.26.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.200
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 137,928 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 137928 first appears in π at position 293,570 of the decimal expansion (the 293,570ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.