3,536,628

2² × 3 × 199 × 1481

3,536,628 factors as 2^2 × 3 × 199 × 1481. Its 24 positive divisors give a proper-divisor sum of 4,762,572, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 199 × 1481

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,299,200

Proper Divisor Sum 4,762,572

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3536627 ← → #3536633

Radix Representation

Decimal	3536628
Binary	1101011111011011110100 (22 bits)
Octal	0o15373364
Hexadecimal	0x35F6F4

Divisor Catalog (24)

1 2 3 4 6 12 199 398 597 796 1,194 1,481 2,388 2,962 4,443 5,924 8,886 17,772 294,719 589,438 884,157 1,178,876 1,768,314 3,536,628

Collatz Trajectory (159 steps to reach 1)

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

3,536,628 1,768,314 884,157 2,652,472 1,326,236 663,118 331,559 994,678 497,339 1,492,018 746,009 2,238,028 1,119,014 559,507 1,678,522 839,261 2,517,784 1,258,892 629,446 314,723 944,170 472,085 1,416,256 708,128 354,064 177,032 88,516 44,258 22,129 66,388 33,194 16,597 49,792 24,896 12,448 6,224 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107

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