137,550
137,550 is a composite number, even.
137,550 (one hundred thirty-seven thousand five hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5² × 7 × 131. Its proper divisors sum to 255,282, more than the number itself, making it an abundant number. It is the 524th triangular number. Written other ways, in hexadecimal, 0x2194E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 55,731
- Recamán's sequence
- a(493,727) = 137,550
- Square (n²)
- 18,920,002,500
- Cube (n³)
- 2,602,446,343,875,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 392,832
- φ(n) — Euler's totient
- 31,200
- Sum of prime factors
- 153
Primality
Prime factorization: 2 × 3 × 5 2 × 7 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,550 = [370; (1, 7, 6, 1, 1, 3, 1, 5, 1, 2, 1, 1, 1, 29, 28, 2, 52, 2, 28, 29, 1, 1, 1, 2, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand five hundred fifty
- Ordinal
- 137550th
- Binary
- 100001100101001110
- Octal
- 414516
- Hexadecimal
- 0x2194E
- Base64
- AhlO
- One's complement
- 4,294,829,745 (32-bit)
- Scientific notation
- 1.3755 × 10⁵
- As a duration
- 137,550 s = 1 day, 14 hours, 12 minutes, 30 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζφνʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋱·𝋪
- Chinese
- 一十三萬七千五百五十
- Chinese (financial)
- 壹拾參萬柒仟伍佰伍拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137550, here are decompositions:
- 13 + 137537 = 137550
- 31 + 137519 = 137550
- 43 + 137507 = 137550
- 59 + 137491 = 137550
- 67 + 137483 = 137550
- 73 + 137477 = 137550
- 97 + 137453 = 137550
- 103 + 137447 = 137550
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A5 8E (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.78.
- Address
- 0.2.25.78
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.78
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 137,550 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 137550 first appears in π at position 789,015 of the decimal expansion (the 789,015ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.