1,001,742
1,001,742 is a composite number, even.
1,001,742 (one million one thousand seven hundred forty-two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 7 × 17 × 23 × 61. Its proper divisors sum to 1,569,522, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF490E.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 2,471,001
- Square (n²)
- 1,003,487,034,564
- Cube (n³)
- 1,005,235,108,978,210,488
- Divisor count
- 64
- σ(n) — sum of divisors
- 2,571,264
- φ(n) — Euler's totient
- 253,440
- Sum of prime factors
- 113
Primality
Prime factorization: 2 × 3 × 7 × 17 × 23 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,001,742 = [1000; (1, 6, 1, 2, 1, 2, 3, 1, 6, 16, 2, 1, 1, 8, 1, 1, 5, 2, 1, 11, 6, 3, 2, 5, …)]
Period length 58 — the block in parentheses repeats forever.
Representations
- In words
- one million one thousand seven hundred forty-two
- Ordinal
- 1001742nd
- Binary
- 11110100100100001110
- Octal
- 3644416
- Hexadecimal
- 0xF490E
- Base64
- D0kO
- One's complement
- 4,293,965,553 (32-bit)
- Scientific notation
- 1.001742 × 10⁶
- As a duration
- 1,001,742 s = 11 days, 14 hours, 15 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Chinese
- 一百萬一千七百四十二
- Chinese (financial)
- 壹佰萬壹仟柒佰肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001742, here are decompositions:
- 19 + 1001723 = 1001742
- 29 + 1001713 = 1001742
- 59 + 1001683 = 1001742
- 73 + 1001669 = 1001742
- 83 + 1001659 = 1001742
- 103 + 1001639 = 1001742
- 113 + 1001629 = 1001742
- 149 + 1001593 = 1001742
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.14.
- Address
- 0.15.73.14
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.73.14
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 1,001,742 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.