137,816
137,816 is a composite number, even.
137,816 (one hundred thirty-seven thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 23 × 107. Its proper divisors sum to 173,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 1,008
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 618,731
- Recamán's sequence
- a(493,195) = 137,816
- Square (n²)
- 18,993,249,856
- Cube (n³)
- 2,617,573,722,154,496
- Divisor count
- 32
- σ(n) — sum of divisors
- 311,040
- φ(n) — Euler's totient
- 55,968
- Sum of prime factors
- 143
Primality
Prime factorization: 2 3 × 7 × 23 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,816 = [371; (4, 4, 6, 1, 36, 3, 1, 4, 1, 1, 4, 2, 1, 29, 106, 29, 1, 2, 4, 1, 1, 4, 1, 3, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand eight hundred sixteen
- Ordinal
- 137816th
- Binary
- 100001101001011000
- Octal
- 415130
- Hexadecimal
- 0x21A58
- Base64
- AhpY
- One's complement
- 4,294,829,479 (32-bit)
- Scientific notation
- 1.37816 × 10⁵
- As a duration
- 137,816 s = 1 day, 14 hours, 16 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζωιϛʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋪·𝋰
- Chinese
- 一十三萬七千八百一十六
- Chinese (financial)
- 壹拾參萬柒仟捌佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137816, here are decompositions:
- 13 + 137803 = 137816
- 73 + 137743 = 137816
- 79 + 137737 = 137816
- 103 + 137713 = 137816
- 109 + 137707 = 137816
- 157 + 137659 = 137816
- 163 + 137653 = 137816
- 193 + 137623 = 137816
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A9 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.88.
- Address
- 0.2.26.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.88
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 137,816 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 137816 first appears in π at position 403,830 of the decimal expansion (the 403,830ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.