11,617,574

2 × 29² × 6907

11,617,574 factors as 2 × 29^2 × 6907. Its 12 positive divisors give a proper-divisor sum of 6,433,030, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 29^2 × 6907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,050,604

Proper Divisor Sum 6,433,030

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #11617561 ← → #11617577

Radix Representation

Decimal	11617574
Binary	101100010100010100100110 (24 bits)
Octal	0o54242446
Hexadecimal	0xB14526

Divisor Catalog (12)

1 2 29 58 841 1,682 6,907 13,814 200,303 400,606 5,808,787 11,617,574

Collatz Trajectory (184 steps to reach 1)

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

11,617,574 5,808,787 17,426,362 8,713,181 26,139,544 13,069,772 6,534,886 3,267,443 9,802,330 4,901,165 14,703,496 7,351,748 3,675,874 1,837,937 5,513,812 2,756,906 1,378,453 4,135,360 2,067,680 1,033,840 516,920 258,460 129,230 64,615 193,846 96,923 290,770 145,385 436,156 218,078 109,039 327,118 163,559 490,678 245,339 736,018 368,009 1,104,028 552,014 276,007 828,022 414,011 1,242,034 621,017 1,863,052 931,526 465,763 1,397,290 698,645 2,095,936 1,047,968 523,984 261,992 130,996 65,498 32,749 98,248 49,124 24,562 12,281

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