3,501,927

3³ × 11 × 13 × 907

3,501,927 factors as 3^3 × 11 × 13 × 907. Its 32 positive divisors give a proper-divisor sum of 2,599,833, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 13 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,101,760

Proper Divisor Sum 2,599,833

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3501919 ← → #3501961

Radix Representation

Decimal	3501927
Binary	1101010110111101100111 (22 bits)
Octal	0o15267547
Hexadecimal	0x356F67

Divisor Catalog (32)

1 3 9 11 13 27 33 39 99 117 143 297 351 429 907 1,287 2,721 3,861 8,163 9,977 11,791 24,489 29,931 35,373 89,793 106,119 129,701 269,379 318,357 389,103 1,167,309 3,501,927

Collatz Trajectory (203 steps to reach 1)

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

3,501,927 10,505,782 5,252,891 15,758,674 7,879,337 23,638,012 11,819,006 5,909,503 17,728,510 8,864,255 26,592,766 13,296,383 39,889,150 19,944,575 59,833,726 29,916,863 89,750,590 44,875,295 134,625,886 67,312,943 201,938,830 100,969,415 302,908,246 151,454,123 454,362,370 227,181,185 681,543,556 340,771,778 170,385,889 511,157,668 255,578,834 127,789,417 383,368,252 191,684,126 95,842,063 287,526,190 143,763,095 431,289,286 215,644,643 646,933,930 323,466,965 970,400,896 485,200,448 242,600,224 121,300,112 60,650,056 30,325,028 15,162,514 7,581,257 22,743,772 11,371,886 5,685,943 17,057,830 8,528,915 25,586,746 12,793,373 38,380,120 19,190,060 9,595,030 4,797,515

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