1,815,759

3² × 11 × 18341

1,815,759 factors as 3^2 × 11 × 18341. Its 12 positive divisors give a proper-divisor sum of 1,045,593, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 18341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,861,352

Proper Divisor Sum 1,045,593

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1815739 ← → #1815799

Radix Representation

Decimal	1815759
Binary	110111011010011001111 (21 bits)
Octal	0o6732317
Hexadecimal	0x1BB4CF

Divisor Catalog (12)

1 3 9 11 33 99 18,341 55,023 165,069 201,751 605,253 1,815,759

Collatz Trajectory (220 steps to reach 1)

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

1,815,759 5,447,278 2,723,639 8,170,918 4,085,459 12,256,378 6,128,189 18,384,568 9,192,284 4,596,142 2,298,071 6,894,214 3,447,107 10,341,322 5,170,661 15,511,984 7,755,992 3,877,996 1,938,998 969,499 2,908,498 1,454,249 4,362,748 2,181,374 1,090,687 3,272,062 1,636,031 4,908,094 2,454,047 7,362,142 3,681,071 11,043,214 5,521,607 16,564,822 8,282,411 24,847,234 12,423,617 37,270,852 18,635,426 9,317,713 27,953,140 13,976,570 6,988,285 20,964,856 10,482,428 5,241,214 2,620,607 7,861,822 3,930,911 11,792,734 5,896,367 17,689,102 8,844,551 26,533,654 13,266,827 39,800,482 19,900,241 59,700,724 29,850,362 14,925,181

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