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4,286,295

32 × 5 × 13 × 17 × 431
Deficient Odd Composite

4,286,295 factors as 3^2 × 5 × 13 × 17 × 431. Its 48 positive divisors give a proper-divisor sum of 4,205,097, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 17 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,491,392
Proper Divisor Sum 4,205,097
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4286281 ← → #4286309

Radix Representation

Decimal 4286295
Binary 10000010110011101010111 (23 bits)
Octal 0o20263527
Hexadecimal 0x416757

Divisor Catalog (48)

1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 431 585 663 765 1,105 1,293 1,989 2,155 3,315 3,879 5,603 6,465 7,327 9,945 16,809 19,395 21,981 28,015 36,635 50,427 65,943 84,045 95,251 109,905 252,135 285,753 329,715 476,255 857,259 1,428,765 4,286,295

Collatz Trajectory (149 steps to reach 1)

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

4,286,295 12,858,886 6,429,443 19,288,330 9,644,165 28,932,496 14,466,248 7,233,124 3,616,562 1,808,281 5,424,844 2,712,422 1,356,211 4,068,634 2,034,317 6,102,952 3,051,476 1,525,738 762,869 2,288,608 1,144,304 572,152 286,076 143,038 71,519 214,558 107,279 321,838 160,919 482,758 241,379 724,138 362,069 1,086,208 543,104 271,552 135,776 67,888 33,944 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535

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