3,964,052

2² × 151 × 6563

3,964,052 factors as 2^2 × 151 × 6563. Its 12 positive divisors give a proper-divisor sum of 3,020,044, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 151 × 6563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,984,096

Proper Divisor Sum 3,020,044

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3964031 ← → #3964061

Radix Representation

Decimal	3964052
Binary	1111000111110010010100 (22 bits)
Octal	0o17076224
Hexadecimal	0x3C7C94

Divisor Catalog (12)

1 2 4 151 302 604 6,563 13,126 26,252 991,013 1,982,026 3,964,052

Collatz Trajectory (216 steps to reach 1)

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

3,964,052 1,982,026 991,013 2,973,040 1,486,520 743,260 371,630 185,815 557,446 278,723 836,170 418,085 1,254,256 627,128 313,564 156,782 78,391 235,174 117,587 352,762 176,381 529,144 264,572 132,286 66,143 198,430 99,215 297,646 148,823 446,470 223,235 669,706 334,853 1,004,560 502,280 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150

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