3,565,296

2⁴ × 3⁵ × 7 × 131

3,565,296 factors as 2^4 × 3^5 × 7 × 131. Its 120 positive divisors give a proper-divisor sum of 8,350,608, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^4 × 3^5 × 7 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,915,904

Proper Divisor Sum 8,350,608

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3565277 ← → #3565297

Radix Representation

Decimal	3565296
Binary	1101100110011011110000 (22 bits)
Octal	0o15463360
Hexadecimal	0x3666F0

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 131 144 162 168 189 216 243 252 262 324 336 378 393 432 486 504 524 567 648 756 786 917 972 1,008 1,048 1,134 1,179 1,296 1,512 1,572 1,701 1,834

Collatz Trajectory (97 steps to reach 1)

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

3,565,296 1,782,648 891,324 445,662 222,831 668,494 334,247 1,002,742 501,371 1,504,114 752,057 2,256,172 1,128,086 564,043 1,692,130 846,065 2,538,196 1,269,098 634,549 1,903,648 951,824 475,912 237,956 118,978 59,489 178,468 89,234 44,617 133,852 66,926 33,463 100,390 50,195 150,586 75,293 225,880 112,940 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629

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