9,965,532

2² × 3 × 23 × 36107

9,965,532 has digital root 3. The neighboring primes are 9965507 and 9965533; its proper-divisor sum differs from the starting integer by 4,333,512.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 36107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,264,576

Proper Divisor Sum 14,299,044

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9965507 ← → #9965533

Radix Representation

Decimal	9965532
Binary	100110000000111111011100 (24 bits)
Octal	0o46007734
Hexadecimal	0x980FDC

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 36,107 72,214 108,321 144,428 216,642 433,284 830,461 1,660,922 2,491,383 3,321,844 4,982,766 9,965,532

Collatz Trajectory (176 steps to reach 1)

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

9,965,532 4,982,766 2,491,383 7,474,150 3,737,075 11,211,226 5,605,613 16,816,840 8,408,420 4,204,210 2,102,105 6,306,316 3,153,158 1,576,579 4,729,738 2,364,869 7,094,608 3,547,304 1,773,652 886,826 443,413 1,330,240 665,120 332,560 166,280 83,140 41,570 20,785 62,356 31,178 15,589 46,768 23,384 11,692 5,846 2,923 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762

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