3,693,984

2⁵ × 3 × 7 × 23 × 239

3,693,984 factors as 2^5 × 3 × 7 × 23 × 239. Its 96 positive divisors give a proper-divisor sum of 7,918,176, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 23 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 11,612,160

Proper Divisor Sum 7,918,176

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3693983 ← → #3693997

Radix Representation

Decimal	3693984
Binary	1110000101110110100000 (22 bits)
Octal	0o16056640
Hexadecimal	0x385DA0

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 239 276 322 336 368 478 483 552 644 672 717 736 956 966 1,104 1,288 1,434 1,673 1,912 1,932 2,208 2,576 2,868 3,346 3,824 3,864 5,019 5,152 5,497 5,736 6,692

Collatz Trajectory (172 steps to reach 1)

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

3,693,984 1,846,992 923,496 461,748 230,874 115,437 346,312 173,156 86,578 43,289 129,868 64,934 32,467 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

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