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4,205,290

2 × 5 × 17 × 29 × 853
Deficient Even Composite

4,205,290 factors as 2 × 5 × 17 × 29 × 853. Its 32 positive divisors give a proper-divisor sum of 4,095,590, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 29 × 853
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,300,880
Proper Divisor Sum 4,095,590
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4205281 ← → #4205303

Radix Representation

Decimal 4205290
Binary 10000000010101011101010 (23 bits)
Octal 0o20025352
Hexadecimal 0x402AEA

Divisor Catalog (32)

1 2 5 10 17 29 34 58 85 145 170 290 493 853 986 1,706 2,465 4,265 4,930 8,530 14,501 24,737 29,002 49,474 72,505 123,685 145,010 247,370 420,529 841,058 2,102,645 4,205,290

Collatz Trajectory (105 steps to reach 1)

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

4,205,290 2,102,645 6,307,936 3,153,968 1,576,984 788,492 394,246 197,123 591,370 295,685 887,056 443,528 221,764 110,882 55,441 166,324 83,162 41,581 124,744 62,372 31,186 15,593 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448

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