5,963,400

2³ × 3² × 5² × 3313

5,963,400 factors as 2^3 × 3^2 × 5^2 × 3313. Its 72 positive divisors give a proper-divisor sum of 14,069,730, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 3313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 20,033,130

Proper Divisor Sum 14,069,730

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5963381 ← → #5963411

Radix Representation

Decimal	5963400
Binary	10110101111111010001000 (23 bits)
Octal	0o26577210
Hexadecimal	0x5AFE88

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1,800 3,313 6,626 9,939 13,252 16,565 19,878 26,504 29,817 33,130 39,756 49,695 59,634 66,260 79,512 82,825 99,390 119,268 132,520 149,085 165,650 198,780 238,536 248,475 298,170

Collatz Trajectory (165 steps to reach 1)

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

5,963,400 2,981,700 1,490,850 745,425 2,236,276 1,118,138 559,069 1,677,208 838,604 419,302 209,651 628,954 314,477 943,432 471,716 235,858 117,929 353,788 176,894 88,447 265,342 132,671 398,014 199,007 597,022 298,511 895,534 447,767 1,343,302 671,651 2,014,954 1,007,477 3,022,432 1,511,216 755,608 377,804 188,902 94,451 283,354 141,677 425,032 212,516 106,258 53,129 159,388 79,694 39,847 119,542 59,771 179,314 89,657 268,972 134,486 67,243 201,730 100,865 302,596 151,298 75,649 226,948

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