3,924,115

5 × 13 × 73 × 827

3,924,115 factors as 5 × 13 × 73 × 827. Its 16 positive divisors give a proper-divisor sum of 1,222,733, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 5 × 13 × 73 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,146,848

Proper Divisor Sum 1,222,733

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3924113 ← → #3924119

Radix Representation

Decimal	3924115
Binary	1110111110000010010011 (22 bits)
Octal	0o16760223
Hexadecimal	0x3BE093

Divisor Catalog (16)

1 5 13 65 73 365 827 949 4,135 4,745 10,751 53,755 60,371 301,855 784,823 3,924,115

Collatz Trajectory (154 steps to reach 1)

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

3,924,115 11,772,346 5,886,173 17,658,520 8,829,260 4,414,630 2,207,315 6,621,946 3,310,973 9,932,920 4,966,460 2,483,230 1,241,615 3,724,846 1,862,423 5,587,270 2,793,635 8,380,906 4,190,453 12,571,360 6,285,680 3,142,840 1,571,420 785,710 392,855 1,178,566 589,283 1,767,850 883,925 2,651,776 1,325,888 662,944 331,472 165,736 82,868 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151

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