971,040
971,040 is a composite number, even.
971,040 (nine hundred seventy-one thousand forty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3 × 5 × 7 × 17². Its proper divisors sum to 2,742,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED120.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 40,179
- Square (n²)
- 942,918,681,600
- Cube (n³)
- 915,611,756,580,864,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,713,472
- φ(n) — Euler's totient
- 208,896
- Sum of prime factors
- 59
Primality
Prime factorization: 2 5 × 3 × 5 × 7 × 17 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√971,040 = [985; (2, 2, 2, 1, 1, 6, 4, 3, 2, 15, 1, 5, 1, 7, 2, 1, 4, 3, 1, 6, 17, 1, 1, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred seventy-one thousand forty
- Ordinal
- 971040th
- Binary
- 11101101000100100000
- Octal
- 3550440
- Hexadecimal
- 0xED120
- Base64
- DtEg
- One's complement
- 4,293,996,255 (32-bit)
- Scientific notation
- 9.7104 × 10⁵
- As a duration
- 971,040 s = 11 days, 5 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡοαμʹ
- Chinese
- 九十七萬一千零四十
- Chinese (financial)
- 玖拾柒萬壹仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 971040, here are decompositions:
- 11 + 971029 = 971040
- 13 + 971027 = 971040
- 19 + 971021 = 971040
- 41 + 970999 = 971040
- 43 + 970997 = 971040
- 53 + 970987 = 971040
- 71 + 970969 = 971040
- 73 + 970967 = 971040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.209.32.
- Address
- 0.14.209.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.209.32
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 971,040 and was likely granted around 1910.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 971040 first appears in π at position 285,774 of the decimal expansion (the 285,774ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.