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Atlas › Integer Profiles › Node 3,715,724

3,715,724

22 × 17 × 53 × 1031
Deficient Even Composite

3,715,724 factors as 2^2 × 17 × 53 × 1031. Its 24 positive divisors give a proper-divisor sum of 3,306,004, so this integer is deficient. The Collatz stopping time is 340 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 53 × 1031
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,021,728
Proper Divisor Sum 3,306,004
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3715717 ← → #3715727

Radix Representation

Decimal 3715724
Binary 1110001011001010001100 (22 bits)
Octal 0o16131214
Hexadecimal 0x38B28C

Divisor Catalog (24)

1 2 4 17 34 53 68 106 212 901 1,031 1,802 2,062 3,604 4,124 17,527 35,054 54,643 70,108 109,286 218,572 928,931 1,857,862 3,715,724

Collatz Trajectory (340 steps to reach 1)

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

3,715,724 1,857,862 928,931 2,786,794 1,393,397 4,180,192 2,090,096 1,045,048 522,524 261,262 130,631 391,894 195,947 587,842 293,921 881,764 440,882 220,441 661,324 330,662 165,331 495,994 247,997 743,992 371,996 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812 235,406 117,703 353,110 176,555 529,666 264,833 794,500 397,250 198,625 595,876 297,938 148,969 446,908 223,454 111,727 335,182 167,591 502,774 251,387 754,162 377,081 1,131,244 565,622 282,811 848,434

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