3,709,735

5 × 53 × 13999

For 3,709,735, the 8 positive divisors have a total of 4,536,000. Removing 3,709,735 leaves 826,265, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 53 × 13999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,536,000

Proper Divisor Sum 826,265

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3709733 ← → #3709747

Radix Representation

Decimal	3709735
Binary	1110001001101100100111 (22 bits)
Octal	0o16115447
Hexadecimal	0x389B27

Divisor Catalog (8)

1 5 53 265 13,999 69,995 741,947 3,709,735

Collatz Trajectory (115 steps to reach 1)

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

3,709,735 11,129,206 5,564,603 16,693,810 8,346,905 25,040,716 12,520,358 6,260,179 18,780,538 9,390,269 28,170,808 14,085,404 7,042,702 3,521,351 10,564,054 5,282,027 15,846,082 7,923,041 23,769,124 11,884,562 5,942,281 17,826,844 8,913,422 4,456,711 13,370,134 6,685,067 20,055,202 10,027,601 30,082,804 15,041,402 7,520,701 22,562,104 11,281,052 5,640,526 2,820,263 8,460,790 4,230,395 12,691,186 6,345,593 19,036,780 9,518,390 4,759,195 14,277,586 7,138,793 21,416,380 10,708,190 5,354,095 16,062,286 8,031,143 24,093,430 12,046,715 36,140,146 18,070,073 54,210,220 27,105,110 13,552,555 40,657,666 20,328,833 60,986,500 30,493,250

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