4,677,417

3² × 519713

4,677,417 factors as 3^2 × 519713. Its 6 positive divisors give a proper-divisor sum of 2,078,865, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3^2 × 519713

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,756,282

Proper Divisor Sum 2,078,865

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4677391 ← → #4677427

Radix Representation

Decimal	4677417
Binary	10001110101111100101001 (23 bits)
Octal	0o21657451
Hexadecimal	0x475F29

Divisor Catalog (6)

1 3 9 519,713 1,559,139 4,677,417

Collatz Trajectory (180 steps to reach 1)

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

4,677,417 14,032,252 7,016,126 3,508,063 10,524,190 5,262,095 15,786,286 7,893,143 23,679,430 11,839,715 35,519,146 17,759,573 53,278,720 26,639,360 13,319,680 6,659,840 3,329,920 1,664,960 832,480 416,240 208,120 104,060 52,030 26,015 78,046 39,023 117,070 58,535 175,606 87,803 263,410 131,705 395,116 197,558 98,779 296,338 148,169 444,508 222,254 111,127 333,382 166,691 500,074 250,037 750,112 375,056 187,528 93,764 46,882 23,441 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945

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