1,003,968
1,003,968 is a composite number, even.
1,003,968 (one million three thousand nine hundred sixty-eight) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3³ × 7 × 83. Its proper divisors sum to 2,409,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 8,693,001
- Square (n²)
- 1,007,951,745,024
- Cube (n³)
- 1,011,951,297,548,255,232
- Divisor count
- 112
- σ(n) — sum of divisors
- 3,413,760
- φ(n) — Euler's totient
- 283,392
- Sum of prime factors
- 111
Primality
Prime factorization: 2 6 × 3 3 × 7 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,003,968 = [1001; (1, 54, 1, 1, 1, 221, 1, 499, 1, 221, 1, 1, 1, 54, 1, 2002)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one million three thousand nine hundred sixty-eight
- Ordinal
- 1003968th
- Binary
- 11110101000111000000
- Octal
- 3650700
- Hexadecimal
- 0xF51C0
- Base64
- D1HA
- One's complement
- 4,293,963,327 (32-bit)
- Scientific notation
- 1.003968 × 10⁶
- As a duration
- 1,003,968 s = 11 days, 14 hours, 52 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Chinese
- 一百萬三千九百六十八
- Chinese (financial)
- 壹佰萬參仟玖佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003968, here are decompositions:
- 5 + 1003963 = 1003968
- 11 + 1003957 = 1003968
- 37 + 1003931 = 1003968
- 59 + 1003909 = 1003968
- 61 + 1003907 = 1003968
- 71 + 1003897 = 1003968
- 79 + 1003889 = 1003968
- 89 + 1003879 = 1003968
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.192.
- Address
- 0.15.81.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.81.192
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 1,003,968 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 1003968 first appears in π at position 750,720 of the decimal expansion (the 750,720ordinal-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°.