3,707,834

2 × 13 × 142609

For 3,707,834, the 8 positive divisors have a total of 5,989,620. Removing 3,707,834 leaves 2,281,786, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 142609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,989,620

Proper Divisor Sum 2,281,786

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3707813 ← → #3707839

Radix Representation

Decimal	3707834
Binary	1110001001001110111010 (22 bits)
Octal	0o16111672
Hexadecimal	0x3893BA

Divisor Catalog (8)

1 2 13 26 142,609 285,218 1,853,917 3,707,834

Collatz Trajectory (110 steps to reach 1)

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

3,707,834 1,853,917 5,561,752 2,780,876 1,390,438 695,219 2,085,658 1,042,829 3,128,488 1,564,244 782,122 391,061 1,173,184 586,592 293,296 146,648 73,324 36,662 18,331 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524

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