137,780
137,780 is a composite number, even.
137,780 (one hundred thirty-seven thousand seven hundred eighty) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5 × 83². Its proper divisors sum to 155,086, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A34.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 87,731
- Recamán's sequence
- a(493,267) = 137,780
- Square (n²)
- 18,983,328,400
- Cube (n³)
- 2,615,522,986,952,000
- Divisor count
- 18
- σ(n) — sum of divisors
- 292,866
- φ(n) — Euler's totient
- 54,448
- Sum of prime factors
- 175
Primality
Prime factorization: 2 2 × 5 × 83 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,780 = [371; (5, 2, 1, 17, 2, 2, 1, 1, 2, 6, 2, 2, 1, 3, 1, 1, 36, 1, 1, 3, 1, 2, 2, 6, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand seven hundred eighty
- Ordinal
- 137780th
- Binary
- 100001101000110100
- Octal
- 415064
- Hexadecimal
- 0x21A34
- Base64
- Aho0
- One's complement
- 4,294,829,515 (32-bit)
- Scientific notation
- 1.3778 × 10⁵
- As a duration
- 137,780 s = 1 day, 14 hours, 16 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζψπʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋩·𝋠
- Chinese
- 一十三萬七千七百八十
- Chinese (financial)
- 壹拾參萬柒仟柒佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137780, here are decompositions:
- 3 + 137777 = 137780
- 37 + 137743 = 137780
- 43 + 137737 = 137780
- 67 + 137713 = 137780
- 73 + 137707 = 137780
- 127 + 137653 = 137780
- 157 + 137623 = 137780
- 193 + 137587 = 137780
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A8 B4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.52.
- Address
- 0.2.26.52
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.52
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 137,780 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 137780 first appears in π at position 537,893 of the decimal expansion (the 537,893ordinal-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.