3,350,152

2³ × 13 × 32213

3,350,152 factors as 2^3 × 13 × 32213. Its 16 positive divisors give a proper-divisor sum of 3,414,788, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 32213

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,764,940

Proper Divisor Sum 3,414,788

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3350147 ← → #3350159

Radix Representation

Decimal	3350152
Binary	1100110001111010001000 (22 bits)
Octal	0o14617210
Hexadecimal	0x331E88

Divisor Catalog (16)

1 2 4 8 13 26 52 104 32,213 64,426 128,852 257,704 418,769 837,538 1,675,076 3,350,152

Collatz Trajectory (177 steps to reach 1)

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

3,350,152 1,675,076 837,538 418,769 1,256,308 628,154 314,077 942,232 471,116 235,558 117,779 353,338 176,669 530,008 265,004 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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