3,317,064

2³ × 3 × 41 × 3371

3,317,064 factors as 2^3 × 3 × 41 × 3371. Its 32 positive divisors give a proper-divisor sum of 5,180,376, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 3371

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,497,440

Proper Divisor Sum 5,180,376

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3317033 ← → #3317117

Radix Representation

Decimal	3317064
Binary	1100101001110101001000 (22 bits)
Octal	0o14516510
Hexadecimal	0x329D48

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 3,371 6,742 10,113 13,484 20,226 26,968 40,452 80,904 138,211 276,422 414,633 552,844 829,266 1,105,688 1,658,532 3,317,064

Collatz Trajectory (115 steps to reach 1)

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

3,317,064 1,658,532 829,266 414,633 1,243,900 621,950 310,975 932,926 466,463 1,399,390 699,695 2,099,086 1,049,543 3,148,630 1,574,315 4,722,946 2,361,473 7,084,420 3,542,210 1,771,105 5,313,316 2,656,658 1,328,329 3,984,988 1,992,494 996,247 2,988,742 1,494,371 4,483,114 2,241,557 6,724,672 3,362,336 1,681,168 840,584 420,292 210,146 105,073 315,220 157,610 78,805 236,416 118,208 59,104 29,552 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509

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