137,800
137,800 is a composite number, even.
137,800 (one hundred thirty-seven thousand eight hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 13 × 53. Its proper divisors sum to 213,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A48.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 8,731
- Recamán's sequence
- a(493,227) = 137,800
- Square (n²)
- 18,988,840,000
- Cube (n³)
- 2,616,662,152,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 351,540
- φ(n) — Euler's totient
- 49,920
- Sum of prime factors
- 82
Primality
Prime factorization: 2 3 × 5 2 × 13 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,800 = [371; (4, 1, 2, 82, 7, 2, 2, 2, 1, 8, 2, 5, 1, 1, 1, 29, 20, 1, 1, 2, 3, 3, 185, 3, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand eight hundred
- Ordinal
- 137800th
- Binary
- 100001101001001000
- Octal
- 415110
- Hexadecimal
- 0x21A48
- Base64
- AhpI
- One's complement
- 4,294,829,495 (32-bit)
- Scientific notation
- 1.378 × 10⁵
- As a duration
- 137,800 s = 1 day, 14 hours, 16 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλζωʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋪·𝋠
- Chinese
- 一十三萬七千八百
- Chinese (financial)
- 壹拾參萬柒仟捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137800, here are decompositions:
- 23 + 137777 = 137800
- 29 + 137771 = 137800
- 101 + 137699 = 137800
- 167 + 137633 = 137800
- 227 + 137573 = 137800
- 233 + 137567 = 137800
- 263 + 137537 = 137800
- 281 + 137519 = 137800
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A9 88 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.72.
- Address
- 0.2.26.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.72
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 137,800 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 137800 first appears in π at position 29,335 of the decimal expansion (the 29,335ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.