3,984,308

2² × 37 × 26921

3,984,308 factors as 2^2 × 37 × 26921. Its 12 positive divisors give a proper-divisor sum of 3,176,944, so this integer is deficient. The Collatz stopping time is 353 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 26921

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,161,252

Proper Divisor Sum 3,176,944

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3984301 ← → #3984317

Radix Representation

Decimal	3984308
Binary	1111001100101110110100 (22 bits)
Octal	0o17145664
Hexadecimal	0x3CCBB4

Divisor Catalog (12)

1 2 4 37 74 148 26,921 53,842 107,684 996,077 1,992,154 3,984,308

Collatz Trajectory (353 steps to reach 1)

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

3,984,308 1,992,154 996,077 2,988,232 1,494,116 747,058 373,529 1,120,588 560,294 280,147 840,442 420,221 1,260,664 630,332 315,166 157,583 472,750 236,375 709,126 354,563 1,063,690 531,845 1,595,536 797,768 398,884 199,442 99,721 299,164 149,582 74,791 224,374 112,187 336,562 168,281 504,844 252,422 126,211 378,634 189,317 567,952 283,976 141,988 70,994 35,497 106,492 53,246 26,623 79,870 39,935 119,806 59,903 179,710 89,855 269,566 134,783 404,350 202,175 606,526 303,263 909,790

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