137,300
137,300 is a composite number, even.
137,300 (one hundred thirty-seven thousand three hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 1,373. Its proper divisors sum to 160,858, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21854.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 3,731
- Recamán's sequence
- a(37,404) = 137,300
- Square (n²)
- 18,851,290,000
- Cube (n³)
- 2,588,282,117,000,000
- Divisor count
- 18
- σ(n) — sum of divisors
- 298,158
- φ(n) — Euler's totient
- 54,880
- Sum of prime factors
- 1,387
Primality
Prime factorization: 2 2 × 5 2 × 1373
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,300 = [370; (1, 1, 5, 1, 2, 1, 1, 1, 184, 1, 1, 1, 2, 1, 5, 1, 1, 740)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand three hundred
- Ordinal
- 137300th
- Binary
- 100001100001010100
- Octal
- 414124
- Hexadecimal
- 0x21854
- Base64
- AhhU
- One's complement
- 4,294,829,995 (32-bit)
- Scientific notation
- 1.373 × 10⁵
- As a duration
- 137,300 s = 1 day, 14 hours, 8 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλζτʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋥·𝋠
- Chinese
- 一十三萬七千三百
- Chinese (financial)
- 壹拾參萬柒仟參佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137300, here are decompositions:
- 61 + 137239 = 137300
- 103 + 137197 = 137300
- 109 + 137191 = 137300
- 157 + 137143 = 137300
- 181 + 137119 = 137300
- 211 + 137089 = 137300
- 223 + 137077 = 137300
- 271 + 137029 = 137300
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A1 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.84.
- Address
- 0.2.24.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.84
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 137,300 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 137300 first appears in π at position 771,003 of the decimal expansion (the 771,003ordinal-suffix:rd 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.