3,694,311

3² × 73 × 5623

3,694,311 factors as 3^2 × 73 × 5623. Its 12 positive divisors give a proper-divisor sum of 1,715,977, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^2 × 73 × 5623

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,410,288

Proper Divisor Sum 1,715,977

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3694297 ← → #3694319

Radix Representation

Decimal	3694311
Binary	1110000101111011100111 (22 bits)
Octal	0o16057347
Hexadecimal	0x385EE7

Divisor Catalog (12)

1 3 9 73 219 657 5,623 16,869 50,607 410,479 1,231,437 3,694,311

Collatz Trajectory (164 steps to reach 1)

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

3,694,311 11,082,934 5,541,467 16,624,402 8,312,201 24,936,604 12,468,302 6,234,151 18,702,454 9,351,227 28,053,682 14,026,841 42,080,524 21,040,262 10,520,131 31,560,394 15,780,197 47,340,592 23,670,296 11,835,148 5,917,574 2,958,787 8,876,362 4,438,181 13,314,544 6,657,272 3,328,636 1,664,318 832,159 2,496,478 1,248,239 3,744,718 1,872,359 5,617,078 2,808,539 8,425,618 4,212,809 12,638,428 6,319,214 3,159,607 9,478,822 4,739,411 14,218,234 7,109,117 21,327,352 10,663,676 5,331,838 2,665,919 7,997,758 3,998,879 11,996,638 5,998,319 17,994,958 8,997,479 26,992,438 13,496,219 40,488,658 20,244,329 60,732,988 30,366,494

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