3,527,684

2² × 67 × 13163

3,527,684 factors as 2^2 × 67 × 13163. Its 12 positive divisors give a proper-divisor sum of 2,738,380, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 13163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,266,064

Proper Divisor Sum 2,738,380

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3527663 ← → #3527723

Radix Representation

Decimal	3527684
Binary	1101011101010000000100 (22 bits)
Octal	0o15352004
Hexadecimal	0x35D404

Divisor Catalog (12)

1 2 4 67 134 268 13,163 26,326 52,652 881,921 1,763,842 3,527,684

Collatz Trajectory (146 steps to reach 1)

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

3,527,684 1,763,842 881,921 2,645,764 1,322,882 661,441 1,984,324 992,162 496,081 1,488,244 744,122 372,061 1,116,184 558,092 279,046 139,523 418,570 209,285 627,856 313,928 156,964 78,482 39,241 117,724 58,862 29,431 88,294 44,147 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622

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