137,228
137,228 is a composite number, even.
137,228 (one hundred thirty-seven thousand two hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7 × 13² × 29. Its proper divisors sum to 170,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2180C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 672
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 822,731
- Square (n²)
- 18,831,523,984
- Cube (n³)
- 2,584,212,373,276,352
- Divisor count
- 36
- σ(n) — sum of divisors
- 307,440
- φ(n) — Euler's totient
- 52,416
- Sum of prime factors
- 66
Primality
Prime factorization: 2 2 × 7 × 13 2 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,228 = [370; (2, 3, 1, 7, 1, 1, 1, 3, 1, 2, 1, 2, 2, 3, 1, 24, 1, 3, 2, 2, 1, 2, 1, 3, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand two hundred twenty-eight
- Ordinal
- 137228th
- Binary
- 100001100000001100
- Octal
- 414014
- Hexadecimal
- 0x2180C
- Base64
- AhgM
- One's complement
- 4,294,830,067 (32-bit)
- Scientific notation
- 1.37228 × 10⁵
- As a duration
- 137,228 s = 1 day, 14 hours, 7 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζσκηʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋡·𝋨
- Chinese
- 一十三萬七千二百二十八
- Chinese (financial)
- 壹拾參萬柒仟貳佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137228, here are decompositions:
- 19 + 137209 = 137228
- 31 + 137197 = 137228
- 37 + 137191 = 137228
- 97 + 137131 = 137228
- 109 + 137119 = 137228
- 139 + 137089 = 137228
- 151 + 137077 = 137228
- 199 + 137029 = 137228
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A0 8C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.12.
- Address
- 0.2.24.12
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.12
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 137,228 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 137228 first appears in π at position 281,020 of the decimal expansion (the 281,020ordinal-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.