9,744,709

13² × 23² × 109

9,744,709 factors as 13^2 × 23^2 × 109. Its 18 positive divisors give a proper-divisor sum of 1,387,181, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 13^2 × 23^2 × 109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,131,890

Proper Divisor Sum 1,387,181

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9744677 ← → #9744737

Radix Representation

Decimal	9744709
Binary	100101001011000101000101 (24 bits)
Octal	0o45130505
Hexadecimal	0x94B145

Divisor Catalog (18)

1 13 23 109 169 299 529 1,417 2,507 3,887 6,877 18,421 32,591 57,661 89,401 423,683 749,593 9,744,709

Collatz Trajectory (163 steps to reach 1)

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

9,744,709 29,234,128 14,617,064 7,308,532 3,654,266 1,827,133 5,481,400 2,740,700 1,370,350 685,175 2,055,526 1,027,763 3,083,290 1,541,645 4,624,936 2,312,468 1,156,234 578,117 1,734,352 867,176 433,588 216,794 108,397 325,192 162,596 81,298 40,649 121,948 60,974 30,487 91,462 45,731 137,194 68,597 205,792 102,896 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304

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