2,017,767

3 × 23 × 29243

2,017,767 factors as 3 × 23 × 29243. Its 8 positive divisors give a proper-divisor sum of 789,657, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 3 × 23 × 29243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,807,424

Proper Divisor Sum 789,657

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2017753 ← → #2017783

Radix Representation

Decimal	2017767
Binary	111101100100111100111 (21 bits)
Octal	0o7544747
Hexadecimal	0x1EC9E7

Divisor Catalog (8)

1 3 23 69 29,243 87,729 672,589 2,017,767

Collatz Trajectory (135 steps to reach 1)

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

2,017,767 6,053,302 3,026,651 9,079,954 4,539,977 13,619,932 6,809,966 3,404,983 10,214,950 5,107,475 15,322,426 7,661,213 22,983,640 11,491,820 5,745,910 2,872,955 8,618,866 4,309,433 12,928,300 6,464,150 3,232,075 9,696,226 4,848,113 14,544,340 7,272,170 3,636,085 10,908,256 5,454,128 2,727,064 1,363,532 681,766 340,883 1,022,650 511,325 1,533,976 766,988 383,494 191,747 575,242 287,621 862,864 431,432 215,716 107,858 53,929 161,788 80,894 40,447 121,342 60,671 182,014 91,007 273,022 136,511 409,534 204,767 614,302 307,151 921,454 460,727

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