137,802
137,802 is a composite number, even.
137,802 (one hundred thirty-seven thousand eight hundred two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 17 × 193. Its proper divisors sum to 197,430, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A4A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 208,731
- Recamán's sequence
- a(493,223) = 137,802
- Square (n²)
- 18,989,391,204
- Cube (n³)
- 2,616,776,086,693,608
- Divisor count
- 32
- σ(n) — sum of divisors
- 335,232
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 222
Primality
Prime factorization: 2 × 3 × 7 × 17 × 193
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,802 = [371; (4, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 2, 1, 4, 5, 5, 1, 16, 1, 5, 5, 4, 1, 2, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand eight hundred two
- Ordinal
- 137802nd
- Binary
- 100001101001001010
- Octal
- 415112
- Hexadecimal
- 0x21A4A
- Base64
- AhpK
- One's complement
- 4,294,829,493 (32-bit)
- Scientific notation
- 1.37802 × 10⁵
- As a duration
- 137,802 s = 1 day, 14 hours, 16 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
- Greek (Milesian)
- ͵ρλζωβʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋪·𝋢
- Chinese
- 一十三萬七千八百零二
- Chinese (financial)
- 壹拾參萬柒仟捌佰零貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137802, here are decompositions:
- 11 + 137791 = 137802
- 31 + 137771 = 137802
- 59 + 137743 = 137802
- 79 + 137723 = 137802
- 89 + 137713 = 137802
- 103 + 137699 = 137802
- 149 + 137653 = 137802
- 163 + 137639 = 137802
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A9 8A (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.74.
- Address
- 0.2.26.74
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.74
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 137,802 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 137802 first appears in π at position 417,222 of the decimal expansion (the 417,222ordinal-suffix:nd 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.