3,970,656

2⁵ × 3² × 17 × 811

3,970,656 factors as 2^5 × 3^2 × 17 × 811. Its 72 positive divisors give a proper-divisor sum of 7,999,848, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 17 × 811

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,970,504

Proper Divisor Sum 7,999,848

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3970649 ← → #3970657

Radix Representation

Decimal	3970656
Binary	1111001001011001100000 (22 bits)
Octal	0o17113140
Hexadecimal	0x3C9660

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 811 816 1,224 1,622 1,632 2,433 2,448 3,244 4,866 4,896 6,488 7,299 9,732 12,976 13,787 14,598 19,464 25,952 27,574 29,196 38,928 41,361 55,148 58,392 77,856 82,722 110,296 116,784 124,083

Collatz Trajectory (123 steps to reach 1)

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

3,970,656 1,985,328 992,664 496,332 248,166 124,083 372,250 186,125 558,376 279,188 139,594 69,797 209,392 104,696 52,348 26,174 13,087 39,262 19,631 58,894 29,447 88,342 44,171 132,514 66,257 198,772 99,386 49,693 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198

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