137,504
137,504 is a composite number, even.
137,504 (one hundred thirty-seven thousand five hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,297. Written other ways, in hexadecimal, 0x21920.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 405,731
- Recamán's sequence
- a(37,732) = 137,504
- Square (n²)
- 18,907,350,016
- Cube (n³)
- 2,599,836,256,600,064
- Divisor count
- 12
- σ(n) — sum of divisors
- 270,774
- φ(n) — Euler's totient
- 68,736
- Sum of prime factors
- 4,307
Primality
Prime factorization: 2 5 × 4297
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,504 = [370; (1, 4, 2, 2, 2, 3, 7, 1, 1, 17, 1, 1, 3, 1, 12, 1, 2, 2, 1, 1, 22, 1, 1, 2, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand five hundred four
- Ordinal
- 137504th
- Binary
- 100001100100100000
- Octal
- 414440
- Hexadecimal
- 0x21920
- Base64
- Ahkg
- One's complement
- 4,294,829,791 (32-bit)
- Scientific notation
- 1.37504 × 10⁵
- As a duration
- 137,504 s = 1 day, 14 hours, 11 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζφδʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋯·𝋤
- Chinese
- 一十三萬七千五百零四
- Chinese (financial)
- 壹拾參萬柒仟伍佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137504, here are decompositions:
- 13 + 137491 = 137504
- 61 + 137443 = 137504
- 67 + 137437 = 137504
- 151 + 137353 = 137504
- 163 + 137341 = 137504
- 307 + 137197 = 137504
- 313 + 137191 = 137504
- 373 + 137131 = 137504
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A4 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.32.
- Address
- 0.2.25.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.32
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 137,504 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 137504 first appears in π at position 108,201 of the decimal expansion (the 108,201ordinal-suffix:st 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.