1,782,935

5 × 7 × 11² × 421

1,782,935 factors as 5 × 7 × 11^2 × 421. Its 24 positive divisors give a proper-divisor sum of 911,113, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11^2 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,694,048

Proper Divisor Sum 911,113

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1782931 ← → #1782947

Radix Representation

Decimal	1782935
Binary	110110011010010010111 (21 bits)
Octal	0o6632227
Hexadecimal	0x1B3497

Divisor Catalog (24)

Collatz Trajectory (70 steps to reach 1)

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

1,782,935 5,348,806 2,674,403 8,023,210 4,011,605 12,034,816 6,017,408 3,008,704 1,504,352 752,176 376,088 188,044 94,022 47,011 141,034 70,517 211,552 105,776 52,888 26,444 13,222 6,611 19,834 9,917 29,752 14,876 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53

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