5,963,940

2² × 3² × 5 × 17 × 1949

5,963,940 factors as 2^2 × 3^2 × 5 × 17 × 1949. Its 72 positive divisors give a proper-divisor sum of 13,200,660, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 1949

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,164,600

Proper Divisor Sum 13,200,660

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5963939 ← → #5963981

Radix Representation

Decimal	5963940
Binary	10110110000000010100100 (23 bits)
Octal	0o26600244
Hexadecimal	0x5B00A4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1,020 1,530 1,949 3,060 3,898 5,847 7,796 9,745 11,694 17,541 19,490 23,388 29,235 33,133 35,082 38,980 58,470 66,266 70,164 87,705 99,399 116,940 132,532 165,665 175,410 198,798 298,197

Collatz Trajectory (121 steps to reach 1)

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

5,963,940 2,981,970 1,490,985 4,472,956 2,236,478 1,118,239 3,354,718 1,677,359 5,032,078 2,516,039 7,548,118 3,774,059 11,322,178 5,661,089 16,983,268 8,491,634 4,245,817 12,737,452 6,368,726 3,184,363 9,553,090 4,776,545 14,329,636 7,164,818 3,582,409 10,747,228 5,373,614 2,686,807 8,060,422 4,030,211 12,090,634 6,045,317 18,135,952 9,067,976 4,533,988 2,266,994 1,133,497 3,400,492 1,700,246 850,123 2,550,370 1,275,185 3,825,556 1,912,778 956,389 2,869,168 1,434,584 717,292 358,646 179,323 537,970 268,985 806,956 403,478 201,739 605,218 302,609 907,828 453,914 226,957

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