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3,301,424

24 × 72 × 4211
Abundant Even Composite

3,301,424 factors as 2^4 × 7^2 × 4211. Its 30 positive divisors give a proper-divisor sum of 4,141,180, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 4211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 7,442,604
Proper Divisor Sum 4,141,180
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3301409 ← → #3301427

Radix Representation

Decimal 3301424
Binary 1100100110000000110000 (22 bits)
Octal 0o14460060
Hexadecimal 0x326030

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4,211 8,422 16,844 29,477 33,688 58,954 67,376 117,908 206,339 235,816 412,678 471,632 825,356 1,650,712 3,301,424

Collatz Trajectory (195 steps to reach 1)

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

3,301,424 1,650,712 825,356 412,678 206,339 619,018 309,509 928,528 464,264 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108

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