5,008,936

2³ × 626117

For 5,008,936, the 8 positive divisors have a total of 9,391,770. Removing 5,008,936 leaves 4,382,834, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 626117

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,391,770

Proper Divisor Sum 4,382,834

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5008919 ← → #5008973

Radix Representation

Decimal	5008936
Binary	10011000110111000101000 (23 bits)
Octal	0o23067050
Hexadecimal	0x4C6E28

Divisor Catalog (8)

1 2 4 8 626,117 1,252,234 2,504,468 5,008,936

Collatz Trajectory (188 steps to reach 1)

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

5,008,936 2,504,468 1,252,234 626,117 1,878,352 939,176 469,588 234,794 117,397 352,192 176,096 88,048 44,024 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780

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