972,972
972,972 is a composite number, even.
972,972 (nine hundred seventy-two thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2² × 3⁵ × 7 × 11 × 13. Its proper divisors sum to 2,451,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED8AC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 15,876
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 279,279
- Square (n²)
- 946,674,512,784
- Cube (n³)
- 921,087,794,052,474,048
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,424,512
- φ(n) — Euler's totient
- 233,280
- Sum of prime factors
- 50
Primality
Prime factorization: 2 2 × 3 5 × 7 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√972,972 = [986; (2, 1, 1, 5, 2, 21, 1, 23, 2, 1, 1, 492, 1, 1, 2, 23, 1, 21, 2, 5, 1, 1, 2, 1972)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred seventy-two thousand nine hundred seventy-two
- Ordinal
- 972972nd
- Binary
- 11101101100010101100
- Octal
- 3554254
- Hexadecimal
- 0xED8AC
- Base64
- Dtis
- One's complement
- 4,293,994,323 (32-bit)
- Scientific notation
- 9.72972 × 10⁵
- As a duration
- 972,972 s = 11 days, 6 hours, 16 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ϡοβϡοβʹ
- Chinese
- 九十七萬二千九百七十二
- Chinese (financial)
- 玖拾柒萬貳仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972972, here are decompositions:
- 5 + 972967 = 972972
- 29 + 972943 = 972972
- 31 + 972941 = 972972
- 71 + 972901 = 972972
- 73 + 972899 = 972972
- 103 + 972869 = 972972
- 139 + 972833 = 972972
- 149 + 972823 = 972972
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.216.172.
- Address
- 0.14.216.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.216.172
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 972,972 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 972972 first appears in π at position 181,619 of the decimal expansion (the 181,619ordinal-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°.