3,353,535

3³ × 5 × 24841

3,353,535 factors as 3^3 × 5 × 24841. Its 16 positive divisors give a proper-divisor sum of 2,608,545, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 24841

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,962,080

Proper Divisor Sum 2,608,545

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3353533 ← → #3353579

Radix Representation

Decimal	3353535
Binary	1100110010101110111111 (22 bits)
Octal	0o14625677
Hexadecimal	0x332BBF

Divisor Catalog (16)

1 3 5 9 15 27 45 135 24,841 74,523 124,205 223,569 372,615 670,707 1,117,845 3,353,535

Collatz Trajectory (115 steps to reach 1)

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

3,353,535 10,060,606 5,030,303 15,090,910 7,545,455 22,636,366 11,318,183 33,954,550 16,977,275 50,931,826 25,465,913 76,397,740 38,198,870 19,099,435 57,298,306 28,649,153 85,947,460 42,973,730 21,486,865 64,460,596 32,230,298 16,115,149 48,345,448 24,172,724 12,086,362 6,043,181 18,129,544 9,064,772 4,532,386 2,266,193 6,798,580 3,399,290 1,699,645 5,098,936 2,549,468 1,274,734 637,367 1,912,102 956,051 2,868,154 1,434,077 4,302,232 2,151,116 1,075,558 537,779 1,613,338 806,669 2,420,008 1,210,004 605,002 302,501 907,504 453,752 226,876 113,438 56,719 170,158 85,079 255,238 127,619

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