3,792,795

3 × 5 × 149 × 1697

3,792,795 factors as 3 × 5 × 149 × 1697. Its 16 positive divisors give a proper-divisor sum of 2,320,005, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3 × 5 × 149 × 1697

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,112,800

Proper Divisor Sum 2,320,005

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3792793 ← → #3792809

Radix Representation

Decimal	3792795
Binary	1110011101111110011011 (22 bits)
Octal	0o16357633
Hexadecimal	0x39DF9B

Divisor Catalog (16)

1 3 5 15 149 447 745 1,697 2,235 5,091 8,485 25,455 252,853 758,559 1,264,265 3,792,795

Collatz Trajectory (203 steps to reach 1)

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

3,792,795 11,378,386 5,689,193 17,067,580 8,533,790 4,266,895 12,800,686 6,400,343 19,201,030 9,600,515 28,801,546 14,400,773 43,202,320 21,601,160 10,800,580 5,400,290 2,700,145 8,100,436 4,050,218 2,025,109 6,075,328 3,037,664 1,518,832 759,416 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762 320,381 961,144 480,572 240,286 120,143 360,430 180,215 540,646 270,323 810,970 405,485 1,216,456 608,228 304,114 152,057 456,172 228,086 114,043 342,130 171,065 513,196 256,598 128,299 384,898 192,449 577,348 288,674 144,337

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