3,924,263

7³ × 17 × 673

3,924,263 factors as 7^3 × 17 × 673. Its 16 positive divisors give a proper-divisor sum of 928,537, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 7^3 × 17 × 673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,852,800

Proper Divisor Sum 928,537

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3924253 ← → #3924281

Radix Representation

Decimal	3924263
Binary	1110111110000100100111 (22 bits)
Octal	0o16760447
Hexadecimal	0x3BE127

Divisor Catalog (16)

1 7 17 49 119 343 673 833 4,711 5,831 11,441 32,977 80,087 230,839 560,609 3,924,263

Collatz Trajectory (97 steps to reach 1)

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

3,924,263 11,772,790 5,886,395 17,659,186 8,829,593 26,488,780 13,244,390 6,622,195 19,866,586 9,933,293 29,799,880 14,899,940 7,449,970 3,724,985 11,174,956 5,587,478 2,793,739 8,381,218 4,190,609 12,571,828 6,285,914 3,142,957 9,428,872 4,714,436 2,357,218 1,178,609 3,535,828 1,767,914 883,957 2,651,872 1,325,936 662,968 331,484 165,742 82,871 248,614 124,307 372,922 186,461 559,384 279,692 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786 24,893

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