3,915,072

2⁶ × 3² × 7 × 971

3,915,072 factors as 2^6 × 3^2 × 7 × 971. Its 84 positive divisors give a proper-divisor sum of 8,923,104, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 971

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 12,838,176

Proper Divisor Sum 8,923,104

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3915061 ← → #3915073

Radix Representation

Decimal	3915072
Binary	1110111011110101000000 (22 bits)
Octal	0o16736500
Hexadecimal	0x3BBD40

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 971 1,008 1,344 1,942 2,016 2,913 3,884 4,032 5,826 6,797 7,768 8,739 11,652 13,594 15,536 17,478 20,391 23,304 27,188 31,072 34,956 40,782

Collatz Trajectory (185 steps to reach 1)

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

3,915,072 1,957,536 978,768 489,384 244,692 122,346 61,173 183,520 91,760 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141

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