1,784,575

5² × 13 × 17² × 19

1,784,575 factors as 5^2 × 13 × 17^2 × 19. Its 36 positive divisors give a proper-divisor sum of 880,185, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 17^2 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,664,760

Proper Divisor Sum 880,185

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1784567 ← → #1784579

Radix Representation

Decimal	1784575
Binary	110110011101011111111 (21 bits)
Octal	0o6635377
Hexadecimal	0x1B3AFF

Divisor Catalog (36)

Collatz Trajectory (96 steps to reach 1)

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

1,784,575 5,353,726 2,676,863 8,030,590 4,015,295 12,045,886 6,022,943 18,068,830 9,034,415 27,103,246 13,551,623 40,654,870 20,327,435 60,982,306 30,491,153 91,473,460 45,736,730 22,868,365 68,605,096 34,302,548 17,151,274 8,575,637 25,726,912 12,863,456 6,431,728 3,215,864 1,607,932 803,966 401,983 1,205,950 602,975 1,808,926 904,463 2,713,390 1,356,695 4,070,086 2,035,043 6,105,130 3,052,565 9,157,696 4,578,848 2,289,424 1,144,712 572,356 286,178 143,089 429,268 214,634 107,317 321,952 160,976 80,488 40,244 20,122 10,061 30,184 15,092 7,546 3,773 11,320

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