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Atlas › Integer Profiles › Node 5,095,936

5,095,936

29 × 37 × 269
Abundant Even Composite

5,095,936 factors as 2^9 × 37 × 269. Its 40 positive divisors give a proper-divisor sum of 5,400,044, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^9 × 37 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,495,980
Proper Divisor Sum 5,400,044
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5095927 ← → #5095939

Radix Representation

Decimal 5095936
Binary 10011011100001000000000 (23 bits)
Octal 0o23341000
Hexadecimal 0x4DC200

Divisor Catalog (40)

1 2 4 8 16 32 37 64 74 128 148 256 269 296 512 538 592 1,076 1,184 2,152 2,368 4,304 4,736 8,608 9,472 9,953 17,216 18,944 19,906 34,432 39,812 68,864 79,624 137,728 159,248 318,496 636,992 1,273,984 2,547,968 5,095,936

Collatz Trajectory (82 steps to reach 1)

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

5,095,936 2,547,968 1,273,984 636,992 318,496 159,248 79,624 39,812 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

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