3,976,113

3 × 17 × 53 × 1471

3,976,113 factors as 3 × 17 × 53 × 1471. Its 16 positive divisors give a proper-divisor sum of 1,747,023, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 3 × 17 × 53 × 1471

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,723,136

Proper Divisor Sum 1,747,023

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3976099 ← → #3976121

Radix Representation

Decimal	3976113
Binary	1111001010101110110001 (22 bits)
Octal	0o17125661
Hexadecimal	0x3CABB1

Divisor Catalog (16)

1 3 17 51 53 159 901 1,471 2,703 4,413 25,007 75,021 77,963 233,889 1,325,371 3,976,113

Collatz Trajectory (66 steps to reach 1)

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

3,976,113 11,928,340 5,964,170 2,982,085 8,946,256 4,473,128 2,236,564 1,118,282 559,141 1,677,424 838,712 419,356 209,678 104,839 314,518 157,259 471,778 235,889 707,668 353,834 176,917 530,752 265,376 132,688 66,344 33,172 16,586 8,293 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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