3,564,693

3² × 11 × 36007

3,564,693 factors as 3^2 × 11 × 36007. Its 12 positive divisors give a proper-divisor sum of 2,052,555, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 36007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,617,248

Proper Divisor Sum 2,052,555

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3564689 ← → #3564703

Radix Representation

Decimal	3564693
Binary	1101100110010010010101 (22 bits)
Octal	0o15462225
Hexadecimal	0x366495

Divisor Catalog (12)

1 3 9 11 33 99 36,007 108,021 324,063 396,077 1,188,231 3,564,693

Collatz Trajectory (97 steps to reach 1)

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

3,564,693 10,694,080 5,347,040 2,673,520 1,336,760 668,380 334,190 167,095 501,286 250,643 751,930 375,965 1,127,896 563,948 281,974 140,987 422,962 211,481 634,444 317,222 158,611 475,834 237,917 713,752 356,876 178,438 89,219 267,658 133,829 401,488 200,744 100,372 50,186 25,093 75,280 37,640 18,820 9,410 4,705 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629

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