9,749,532

2² × 3 × 13 × 62497

9,749,532 factors as 2^2 × 3 × 13 × 62497. Its 24 positive divisors give a proper-divisor sum of 14,749,684, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 62497

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,499,216

Proper Divisor Sum 14,749,684

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9749521 ← → #9749533

Radix Representation

Decimal	9749532
Binary	100101001100010000011100 (24 bits)
Octal	0o45142034
Hexadecimal	0x94C41C

Divisor Catalog (24)

Collatz Trajectory (150 steps to reach 1)

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

9,749,532 4,874,766 2,437,383 7,312,150 3,656,075 10,968,226 5,484,113 16,452,340 8,226,170 4,113,085 12,339,256 6,169,628 3,084,814 1,542,407 4,627,222 2,313,611 6,940,834 3,470,417 10,411,252 5,205,626 2,602,813 7,808,440 3,904,220 1,952,110 976,055 2,928,166 1,464,083 4,392,250 2,196,125 6,588,376 3,294,188 1,647,094 823,547 2,470,642 1,235,321 3,705,964 1,852,982 926,491 2,779,474 1,389,737 4,169,212 2,084,606 1,042,303 3,126,910 1,563,455 4,690,366 2,345,183 7,035,550 3,517,775 10,553,326 5,276,663 15,829,990 7,914,995 23,744,986 11,872,493 35,617,480 17,808,740 8,904,370 4,452,185 13,356,556

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