3,646,630

2 × 5 × 13 × 28051

3,646,630 factors as 2 × 5 × 13 × 28051. Its 16 positive divisors give a proper-divisor sum of 3,422,474, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 28051

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,069,104

Proper Divisor Sum 3,422,474

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3646603 ← → #3646633

Radix Representation

Decimal	3646630
Binary	1101111010010010100110 (22 bits)
Octal	0o15722246
Hexadecimal	0x37A4A6

Divisor Catalog (16)

1 2 5 10 13 26 65 130 28,051 56,102 140,255 280,510 364,663 729,326 1,823,315 3,646,630

Collatz Trajectory (203 steps to reach 1)

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

3,646,630 1,823,315 5,469,946 2,734,973 8,204,920 4,102,460 2,051,230 1,025,615 3,076,846 1,538,423 4,615,270 2,307,635 6,922,906 3,461,453 10,384,360 5,192,180 2,596,090 1,298,045 3,894,136 1,947,068 973,534 486,767 1,460,302 730,151 2,190,454 1,095,227 3,285,682 1,642,841 4,928,524 2,464,262 1,232,131 3,696,394 1,848,197 5,544,592 2,772,296 1,386,148 693,074 346,537 1,039,612 519,806 259,903 779,710 389,855 1,169,566 584,783 1,754,350 877,175 2,631,526 1,315,763 3,947,290 1,973,645 5,920,936 2,960,468 1,480,234 740,117 2,220,352 1,110,176 555,088 277,544 138,772

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