918,816

2⁵ × 3 × 17 × 563

918,816 has the prime decomposition 2^5 × 3 × 17 × 563. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,558,304

Proper Divisor Sum 1,639,488

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #918793 ← → #918823

Radix Representation

Decimal	918816
Binary	11100000010100100000 (20 bits)
Octal	0o3402440
Hexadecimal	0xE0520

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 563 816 1,126 1,632 1,689 2,252 3,378 4,504 6,756 9,008 9,571 13,512 18,016 19,142 27,024 28,713 38,284 54,048 57,426 76,568 114,852 153,136 229,704 306,272 459,408 918,816

Collatz Trajectory (108 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

918,816 459,408 229,704 114,852 57,426 28,713 86,140 43,070 21,535 64,606 32,303 96,910 48,455 145,366 72,683 218,050 109,025 327,076 163,538 81,769 245,308 122,654 61,327 183,982 91,991 275,974 137,987 413,962 206,981 620,944 310,472 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990

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