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Atlas › Integer Profiles › Node 9,136,752

9,136,752

24 × 3 × 17 × 11197
Abundant Even Composite

9,136,752 factors as 2^4 × 3 × 17 × 11197. Its 40 positive divisors give a proper-divisor sum of 15,857,184, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 11197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,993,936
Proper Divisor Sum 15,857,184
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9136747 ← → #9136781

Radix Representation

Decimal 9136752
Binary 100010110110101001110000 (24 bits)
Octal 0o42665160
Hexadecimal 0x8B6A70

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 11,197 22,394 33,591 44,788 67,182 89,576 134,364 179,152 190,349 268,728 380,698 537,456 571,047 761,396 1,142,094 1,522,792 2,284,188 3,045,584 4,568,376 9,136,752

Collatz Trajectory (225 steps to reach 1)

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

9,136,752 4,568,376 2,284,188 1,142,094 571,047 1,713,142 856,571 2,569,714 1,284,857 3,854,572 1,927,286 963,643 2,890,930 1,445,465 4,336,396 2,168,198 1,084,099 3,252,298 1,626,149 4,878,448 2,439,224 1,219,612 609,806 304,903 914,710 457,355 1,372,066 686,033 2,058,100 1,029,050 514,525 1,543,576 771,788 385,894 192,947 578,842 289,421 868,264 434,132 217,066 108,533 325,600 162,800 81,400 40,700 20,350 10,175 30,526 15,263 45,790 22,895 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955

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