3,385,148

2² × 13 × 65099

3,385,148 factors as 2^2 × 13 × 65099. Its 12 positive divisors give a proper-divisor sum of 2,994,652, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 65099

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,379,800

Proper Divisor Sum 2,994,652

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3385147 ← → #3385153

Radix Representation

Decimal	3385148
Binary	1100111010011100111100 (22 bits)
Octal	0o14723474
Hexadecimal	0x33A73C

Divisor Catalog (12)

1 2 4 13 26 52 65,099 130,198 260,396 846,287 1,692,574 3,385,148

Collatz Trajectory (133 steps to reach 1)

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

3,385,148 1,692,574 846,287 2,538,862 1,269,431 3,808,294 1,904,147 5,712,442 2,856,221 8,568,664 4,284,332 2,142,166 1,071,083 3,213,250 1,606,625 4,819,876 2,409,938 1,204,969 3,614,908 1,807,454 903,727 2,711,182 1,355,591 4,066,774 2,033,387 6,100,162 3,050,081 9,150,244 4,575,122 2,287,561 6,862,684 3,431,342 1,715,671 5,147,014 2,573,507 7,720,522 3,860,261 11,580,784 5,790,392 2,895,196 1,447,598 723,799 2,171,398 1,085,699 3,257,098 1,628,549 4,885,648 2,442,824 1,221,412 610,706 305,353 916,060 458,030 229,015 687,046 343,523 1,030,570 515,285 1,545,856 772,928

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