λ
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4,038,248

23 × 17 × 23 × 1291
Abundant Even Composite

4,038,248 factors as 2^3 × 17 × 23 × 1291. Its 32 positive divisors give a proper-divisor sum of 4,333,912, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 23 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,372,160
Proper Divisor Sum 4,333,912
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4038247 ← → #4038253

Radix Representation

Decimal 4038248
Binary 1111011001111001101000 (22 bits)
Octal 0o17317150
Hexadecimal 0x3D9E68

Divisor Catalog (32)

1 2 4 8 17 23 34 46 68 92 136 184 391 782 1,291 1,564 2,582 3,128 5,164 10,328 21,947 29,693 43,894 59,386 87,788 118,772 175,576 237,544 504,781 1,009,562 2,019,124 4,038,248

Collatz Trajectory (92 steps to reach 1)

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

4,038,248 2,019,124 1,009,562 504,781 1,514,344 757,172 378,586 189,293 567,880 283,940 141,970 70,985 212,956 106,478 53,239 159,718 79,859 239,578 119,789 359,368 179,684 89,842 44,921 134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712

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