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9,694,100

22 × 52 × 13 × 7457
Abundant Even Composite

9,694,100 factors as 2^2 × 5^2 × 13 × 7457. Its 36 positive divisors give a proper-divisor sum of 12,963,304, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 7457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,657,404
Proper Divisor Sum 12,963,304
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9694067 ← → #9694121

Radix Representation

Decimal 9694100
Binary 100100111110101110010100 (24 bits)
Octal 0o44765624
Hexadecimal 0x93EB94

Divisor Catalog (36)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1,300 7,457 14,914 29,828 37,285 74,570 96,941 149,140 186,425 193,882 372,850 387,764 484,705 745,700 969,410 1,938,820 2,423,525 4,847,050 9,694,100

Collatz Trajectory (114 steps to reach 1)

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

9,694,100 4,847,050 2,423,525 7,270,576 3,635,288 1,817,644 908,822 454,411 1,363,234 681,617 2,044,852 1,022,426 511,213 1,533,640 766,820 383,410 191,705 575,116 287,558 143,779 431,338 215,669 647,008 323,504 161,752 80,876 40,438 20,219 60,658 30,329 90,988 45,494 22,747 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250

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