17,828,629

7 × 13 × 195919

17,828,629 factors as 7 × 13 × 195919. Its 8 positive divisors give a proper-divisor sum of 4,114,411, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 7 × 13 × 195919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 21,943,040

Proper Divisor Sum 4,114,411

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #17828623 ← → #17828639

Radix Representation

Decimal	17828629
Binary	1000100000000101100010101 (25 bits)
Octal	0o104005425
Hexadecimal	0x1100B15

Divisor Catalog (8)

1 7 13 91 195,919 1,371,433 2,546,947 17,828,629

Collatz Trajectory (213 steps to reach 1)

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

17,828,629 53,485,888 26,742,944 13,371,472 6,685,736 3,342,868 1,671,434 835,717 2,507,152 1,253,576 626,788 313,394 156,697 470,092 235,046 117,523 352,570 176,285 528,856 264,428 132,214 66,107 198,322 99,161 297,484 148,742 74,371 223,114 111,557 334,672 167,336 83,668 41,834 20,917 62,752 31,376 15,688 7,844 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863

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