3,772,791

3³ × 11 × 12703

3,772,791 is odd and not a perfect square. Its factorization is 3^3 × 11 × 12703 and its 16 divisors sum to 6,097,920.

Prime Factor Structure

Factorization String 3^3 × 11 × 12703

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,097,920

Proper Divisor Sum 2,325,129

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3772771 ← → #3772801

Radix Representation

Decimal	3772791
Binary	1110011001000101110111 (22 bits)
Octal	0o16310567
Hexadecimal	0x399177

Divisor Catalog (16)

1 3 9 11 27 33 99 297 12,703 38,109 114,327 139,733 342,981 419,199 1,257,597 3,772,791

Collatz Trajectory (216 steps to reach 1)

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

3,772,791 11,318,374 5,659,187 16,977,562 8,488,781 25,466,344 12,733,172 6,366,586 3,183,293 9,549,880 4,774,940 2,387,470 1,193,735 3,581,206 1,790,603 5,371,810 2,685,905 8,057,716 4,028,858 2,014,429 6,043,288 3,021,644 1,510,822 755,411 2,266,234 1,133,117 3,399,352 1,699,676 849,838 424,919 1,274,758 637,379 1,912,138 956,069 2,868,208 1,434,104 717,052 358,526 179,263 537,790 268,895 806,686 403,343 1,210,030 605,015 1,815,046 907,523 2,722,570 1,361,285 4,083,856 2,041,928 1,020,964 510,482 255,241 765,724 382,862 191,431 574,294 287,147 861,442

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