9,456,628

2² × 131 × 18047

9,456,628 factors as 2^2 × 131 × 18047. Its 12 positive divisors give a proper-divisor sum of 7,219,724, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 131 × 18047

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,676,352

Proper Divisor Sum 7,219,724

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9456617 ← → #9456637

Radix Representation

Decimal	9456628
Binary	100100000100101111110100 (24 bits)
Octal	0o44045764
Hexadecimal	0x904BF4

Divisor Catalog (12)

1 2 4 131 262 524 18,047 36,094 72,188 2,364,157 4,728,314 9,456,628

Collatz Trajectory (88 steps to reach 1)

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

9,456,628 4,728,314 2,364,157 7,092,472 3,546,236 1,773,118 886,559 2,659,678 1,329,839 3,989,518 1,994,759 5,984,278 2,992,139 8,976,418 4,488,209 13,464,628 6,732,314 3,366,157 10,098,472 5,049,236 2,524,618 1,262,309 3,786,928 1,893,464 946,732 473,366 236,683 710,050 355,025 1,065,076 532,538 266,269 798,808 399,404 199,702 99,851 299,554 149,777 449,332 224,666 112,333 337,000 168,500 84,250 42,125 126,376 63,188 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667

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