5,005,582

2 × 17 × 23 × 37 × 173

5,005,582 has digital root 7. The neighboring primes are 5005549 and 5005613; its proper-divisor sum differs from the starting integer by -1,442,012.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 37 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,569,152

Proper Divisor Sum 3,563,570

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5005549 ← → #5005613

Radix Representation

Decimal	5005582
Binary	10011000110000100001110 (23 bits)
Octal	0o23060416
Hexadecimal	0x4C610E

Divisor Catalog (32)

1 2 17 23 34 37 46 74 173 346 391 629 782 851 1,258 1,702 2,941 3,979 5,882 6,401 7,958 12,802 14,467 28,934 67,643 108,817 135,286 147,223 217,634 294,446 2,502,791 5,005,582

Collatz Trajectory (113 steps to reach 1)

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

5,005,582 2,502,791 7,508,374 3,754,187 11,262,562 5,631,281 16,893,844 8,446,922 4,223,461 12,670,384 6,335,192 3,167,596 1,583,798 791,899 2,375,698 1,187,849 3,563,548 1,781,774 890,887 2,672,662 1,336,331 4,008,994 2,004,497 6,013,492 3,006,746 1,503,373 4,510,120 2,255,060 1,127,530 563,765 1,691,296 845,648 422,824 211,412 105,706 52,853 158,560 79,280 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293

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