137,224
137,224 is a composite number, even.
137,224 (one hundred thirty-seven thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 17 × 1,009. Written other ways, in hexadecimal, 0x21808.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 336
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 422,731
- Square (n²)
- 18,830,426,176
- Cube (n³)
- 2,583,986,401,575,424
- Divisor count
- 16
- σ(n) — sum of divisors
- 272,700
- φ(n) — Euler's totient
- 64,512
- Sum of prime factors
- 1,032
Primality
Prime factorization: 2 3 × 17 × 1009
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,224 = [370; (2, 3, 1, 1, 48, 1, 4, 1, 5, 1, 5, 3, 8, 4, 1, 91, 1, 4, 8, 3, 5, 1, 5, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand two hundred twenty-four
- Ordinal
- 137224th
- Binary
- 100001100000001000
- Octal
- 414010
- Hexadecimal
- 0x21808
- Base64
- AhgI
- One's complement
- 4,294,830,071 (32-bit)
- Scientific notation
- 1.37224 × 10⁵
- As a duration
- 137,224 s = 1 day, 14 hours, 7 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζσκδʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋡·𝋤
- Chinese
- 一十三萬七千二百二十四
- Chinese (financial)
- 壹拾參萬柒仟貳佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137224, here are decompositions:
- 5 + 137219 = 137224
- 23 + 137201 = 137224
- 41 + 137183 = 137224
- 47 + 137177 = 137224
- 71 + 137153 = 137224
- 107 + 137117 = 137224
- 137 + 137087 = 137224
- 233 + 136991 = 137224
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A0 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.8.
- Address
- 0.2.24.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.8
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 137,224 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 137224 first appears in π at position 721,756 of the decimal expansion (the 721,756ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.