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Atlas › Integer Profiles › Node 10,615,040

10,615,040

28 × 5 × 8293
Abundant Even Composite

10,615,040 factors as 2^8 × 5 × 8293. Its 36 positive divisors give a proper-divisor sum of 14,814,364, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^8 × 5 × 8293
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,429,404
Proper Divisor Sum 14,814,364
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10615039 ← → #10615043

Radix Representation

Decimal 10615040
Binary 101000011111100100000000 (24 bits)
Octal 0o50374400
Hexadecimal 0xA1F900

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1,280 8,293 16,586 33,172 41,465 66,344 82,930 132,688 165,860 265,376 331,720 530,752 663,440 1,061,504 1,326,880 2,123,008 2,653,760 5,307,520 10,615,040

Collatz Trajectory (158 steps to reach 1)

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

10,615,040 5,307,520 2,653,760 1,326,880 663,440 331,720 165,860 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342

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