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922,656

25 × 3 × 7 × 1373
Abundant Even Composite

922,656 factors as 2^5 × 3 × 7 × 1373. Its 48 positive divisors give a proper-divisor sum of 1,847,328, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,769,984
Proper Divisor Sum 1,847,328
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #922643 ← → #922667

Radix Representation

Decimal 922656
Binary 11100001010000100000 (20 bits)
Octal 0o3412040
Hexadecimal 0xE1420

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1,373 2,746 4,119 5,492 8,238 9,611 10,984 16,476 19,222 21,968 28,833 32,952 38,444 43,936 57,666 65,904 76,888 115,332 131,808 153,776 230,664 307,552 461,328 922,656

Collatz Trajectory (201 steps to reach 1)

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

922,656 461,328 230,664 115,332 57,666 28,833 86,500 43,250 21,625 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596 187,298 93,649 280,948 140,474 70,237 210,712

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