137,072
137,072 is a composite number, even.
137,072 (one hundred thirty-seven thousand seventy-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 659. Its proper divisors sum to 149,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21770.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 270,731
- Square (n²)
- 18,788,733,184
- Cube (n³)
- 2,575,409,234,997,248
- Divisor count
- 20
- σ(n) — sum of divisors
- 286,440
- φ(n) — Euler's totient
- 63,168
- Sum of prime factors
- 680
Primality
Prime factorization: 2 4 × 13 × 659
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,072 = [370; (4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 740)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand seventy-two
- Ordinal
- 137072nd
- Binary
- 100001011101110000
- Octal
- 413560
- Hexadecimal
- 0x21770
- Base64
- Ahdw
- One's complement
- 4,294,830,223 (32-bit)
- Scientific notation
- 1.37072 × 10⁵
- As a duration
- 137,072 s = 1 day, 14 hours, 4 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρλζοβʹ
- Mayan (base 20)
- 𝋱·𝋢·𝋭·𝋬
- Chinese
- 一十三萬七千零七十二
- Chinese (financial)
- 壹拾參萬柒仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137072, here are decompositions:
- 43 + 137029 = 137072
- 73 + 136999 = 137072
- 79 + 136993 = 137072
- 109 + 136963 = 137072
- 193 + 136879 = 137072
- 211 + 136861 = 137072
- 223 + 136849 = 137072
- 379 + 136693 = 137072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 9D B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.112.
- Address
- 0.2.23.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.23.112
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 137,072 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 137072 first appears in π at position 602,666 of the decimal expansion (the 602,666ordinal-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.