3,206,733

3 × 29² × 31 × 41

3,206,733 factors as 3 × 29^2 × 31 × 41. Its 24 positive divisors give a proper-divisor sum of 1,475,763, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3 × 29^2 × 31 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,682,496

Proper Divisor Sum 1,475,763

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3206717 ← → #3206741

Radix Representation

Decimal	3206733
Binary	1100001110111001001101 (22 bits)
Octal	0o14167115
Hexadecimal	0x30EE4D

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

3,206,733 9,620,200 4,810,100 2,405,050 1,202,525 3,607,576 1,803,788 901,894 450,947 1,352,842 676,421 2,029,264 1,014,632 507,316 253,658 126,829 380,488 190,244 95,122 47,561 142,684 71,342 35,671 107,014 53,507 160,522 80,261 240,784 120,392 60,196 30,098 15,049 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400

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