137,424
137,424 is a composite number, even.
137,424 (one hundred thirty-seven thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 409. Its proper divisors sum to 269,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 672
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 424,731
- Recamán's sequence
- a(37,652) = 137,424
- Square (n²)
- 18,885,355,776
- Cube (n³)
- 2,595,301,132,161,024
- Divisor count
- 40
- σ(n) — sum of divisors
- 406,720
- φ(n) — Euler's totient
- 39,168
- Sum of prime factors
- 427
Primality
Prime factorization: 2 4 × 3 × 7 × 409
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,424 = [370; (1, 2, 2, 2, 1, 1, 4, 1, 1, 2, 61, 2, 1, 1, 4, 1, 1, 2, 2, 2, 1, 740)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred twenty-four
- Ordinal
- 137424th
- Binary
- 100001100011010000
- Octal
- 414320
- Hexadecimal
- 0x218D0
- Base64
- AhjQ
- One's complement
- 4,294,829,871 (32-bit)
- Scientific notation
- 1.37424 × 10⁵
- As a duration
- 137,424 s = 1 day, 14 hours, 10 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζυκδʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋫·𝋤
- Chinese
- 一十三萬七千四百二十四
- Chinese (financial)
- 壹拾參萬柒仟肆佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137424, here are decompositions:
- 11 + 137413 = 137424
- 31 + 137393 = 137424
- 37 + 137387 = 137424
- 41 + 137383 = 137424
- 61 + 137363 = 137424
- 71 + 137353 = 137424
- 83 + 137341 = 137424
- 103 + 137321 = 137424
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A3 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.208.
- Address
- 0.2.24.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.208
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 137,424 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 137424 first appears in π at position 553,234 of the decimal expansion (the 553,234ordinal-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°.