975,783

3 × 17 × 19² × 53

975,783 factors as 3 × 17 × 19^2 × 53. Its 24 positive divisors give a proper-divisor sum of 505,545, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3 × 17 × 19^2 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,481,328

Proper Divisor Sum 505,545

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #975743 ← → #975797

Radix Representation

Decimal	975783
Binary	11101110001110100111 (20 bits)
Octal	0o3561647
Hexadecimal	0xEE3A7

Divisor Catalog (24)

Collatz Trajectory (126 steps to reach 1)

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

975,783 2,927,350 1,463,675 4,391,026 2,195,513 6,586,540 3,293,270 1,646,635 4,939,906 2,469,953 7,409,860 3,704,930 1,852,465 5,557,396 2,778,698 1,389,349 4,168,048 2,084,024 1,042,012 521,006 260,503 781,510 390,755 1,172,266 586,133 1,758,400 879,200 439,600 219,800 109,900 54,950 27,475 82,426 41,213 123,640 61,820 30,910 15,455 46,366 23,183 69,550 34,775 104,326 52,163 156,490 78,245 234,736 117,368 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138

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