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4,050,488

23 × 13 × 17 × 29 × 79
Abundant Even Composite

4,050,488 factors as 2^3 × 13 × 17 × 29 × 79. Its 64 positive divisors give a proper-divisor sum of 5,021,512, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 29 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,072,000
Proper Divisor Sum 5,021,512
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4050481 ← → #4050493

Radix Representation

Decimal 4050488
Binary 1111011100111000111000 (22 bits)
Octal 0o17347070
Hexadecimal 0x3DCE38

Divisor Catalog (60 of 64)

1 2 4 8 13 17 26 29 34 52 58 68 79 104 116 136 158 221 232 316 377 442 493 632 754 884 986 1,027 1,343 1,508 1,768 1,972 2,054 2,291 2,686 3,016 3,944 4,108 4,582 5,372 6,409 8,216 9,164 10,744 12,818 17,459 18,328 25,636 29,783 34,918 38,947 51,272 59,566 69,836 77,894 119,132 139,672 155,788 238,264 311,576

Collatz Trajectory (198 steps to reach 1)

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

4,050,488 2,025,244 1,012,622 506,311 1,518,934 759,467 2,278,402 1,139,201 3,417,604 1,708,802 854,401 2,563,204 1,281,602 640,801 1,922,404 961,202 480,601 1,441,804 720,902 360,451 1,081,354 540,677 1,622,032 811,016 405,508 202,754 101,377 304,132 152,066 76,033 228,100 114,050 57,025 171,076 85,538 42,769 128,308 64,154 32,077 96,232 48,116 24,058 12,029 36,088 18,044 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697

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