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Atlas › Integer Profiles › Node 4,256,805

4,256,805

3 × 5 × 7 × 71 × 571
Deficient Odd Composite

4,256,805 factors as 3 × 5 × 7 × 71 × 571. Its 32 positive divisors give a proper-divisor sum of 3,650,523, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 71 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,907,328
Proper Divisor Sum 3,650,523
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4256803 ← → #4256807

Radix Representation

Decimal 4256805
Binary 10000001111010000100101 (23 bits)
Octal 0o20172045
Hexadecimal 0x40F425

Divisor Catalog (32)

1 3 5 7 15 21 35 71 105 213 355 497 571 1,065 1,491 1,713 2,485 2,855 3,997 7,455 8,565 11,991 19,985 40,541 59,955 121,623 202,705 283,787 608,115 851,361 1,418,935 4,256,805

Collatz Trajectory (198 steps to reach 1)

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

4,256,805 12,770,416 6,385,208 3,192,604 1,596,302 798,151 2,394,454 1,197,227 3,591,682 1,795,841 5,387,524 2,693,762 1,346,881 4,040,644 2,020,322 1,010,161 3,030,484 1,515,242 757,621 2,272,864 1,136,432 568,216 284,108 142,054 71,027 213,082 106,541 319,624 159,812 79,906 39,953 119,860 59,930 29,965 89,896 44,948 22,474 11,237 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751

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