3,790,827

3³ × 140401

3,790,827 factors as 3^3 × 140401. Its 8 positive divisors give a proper-divisor sum of 1,825,253, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 3^3 × 140401

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,616,080

Proper Divisor Sum 1,825,253

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3790807 ← → #3790889

Radix Representation

Decimal	3790827
Binary	1110011101011111101011 (22 bits)
Octal	0o16353753
Hexadecimal	0x39D7EB

Divisor Catalog (8)

1 3 9 27 140,401 421,203 1,263,609 3,790,827

Collatz Trajectory (265 steps to reach 1)

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

3,790,827 11,372,482 5,686,241 17,058,724 8,529,362 4,264,681 12,794,044 6,397,022 3,198,511 9,595,534 4,797,767 14,393,302 7,196,651 21,589,954 10,794,977 32,384,932 16,192,466 8,096,233 24,288,700 12,144,350 6,072,175 18,216,526 9,108,263 27,324,790 13,662,395 40,987,186 20,493,593 61,480,780 30,740,390 15,370,195 46,110,586 23,055,293 69,165,880 34,582,940 17,291,470 8,645,735 25,937,206 12,968,603 38,905,810 19,452,905 58,358,716 29,179,358 14,589,679 43,769,038 21,884,519 65,653,558 32,826,779 98,480,338 49,240,169 147,720,508 73,860,254 36,930,127 110,790,382 55,395,191 166,185,574 83,092,787 249,278,362 124,639,181 373,917,544 186,958,772

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