137,984
137,984 is a composite number, even.
137,984 (one hundred thirty-seven thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2⁸ × 7² × 11. Its proper divisors sum to 211,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 32
- Digit product
- 6,048
- Digital root
- 5
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 489,731
- Recamán's sequence
- a(492,859) = 137,984
- Square (n²)
- 19,039,584,256
- Cube (n³)
- 2,627,157,993,979,904
- Divisor count
- 54
- σ(n) — sum of divisors
- 349,524
- φ(n) — Euler's totient
- 53,760
- Sum of prime factors
- 41
Primality
Prime factorization: 2 8 × 7 2 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,984 = [371; (2, 6, 13, 2, 1, 4, 1, 2, 1, 28, 1, 45, 2, 6, 1, 14, 3, 2, 1, 1, 2, 1, 3, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand nine hundred eighty-four
- Ordinal
- 137984th
- Binary
- 100001101100000000
- Octal
- 415400
- Hexadecimal
- 0x21B00
- Base64
- AhsA
- One's complement
- 4,294,829,311 (32-bit)
- Scientific notation
- 1.37984 × 10⁵
- As a duration
- 137,984 s = 1 day, 14 hours, 19 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλζϡπδʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋳·𝋤
- Chinese
- 一十三萬七千九百八十四
- Chinese (financial)
- 壹拾參萬柒仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137984, here are decompositions:
- 37 + 137947 = 137984
- 43 + 137941 = 137984
- 73 + 137911 = 137984
- 157 + 137827 = 137984
- 181 + 137803 = 137984
- 193 + 137791 = 137984
- 241 + 137743 = 137984
- 271 + 137713 = 137984
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AC 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.0.
- Address
- 0.2.27.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.0
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 137,984 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 137984 first appears in π at position 709,835 of the decimal expansion (the 709,835ordinal-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.