3,694,509

3² × 7 × 13² × 347

3,694,509 has the prime decomposition 3^2 × 7 × 13^2 × 347. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13^2 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,623,136

Proper Divisor Sum 2,928,627

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3694501 ← → #3694511

Radix Representation

Decimal	3694509
Binary	1110000101111110101101 (22 bits)
Octal	0o16057655
Hexadecimal	0x385FAD

Divisor Catalog (36)

1 3 7 9 13 21 39 63 91 117 169 273 347 507 819 1,041 1,183 1,521 2,429 3,123 3,549 4,511 7,287 10,647 13,533 21,861 31,577 40,599 58,643 94,731 175,929 284,193 410,501 527,787 1,231,503 3,694,509

Collatz Trajectory (309 steps to reach 1)

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

3,694,509 11,083,528 5,541,764 2,770,882 1,385,441 4,156,324 2,078,162 1,039,081 3,117,244 1,558,622 779,311 2,337,934 1,168,967 3,506,902 1,753,451 5,260,354 2,630,177 7,890,532 3,945,266 1,972,633 5,917,900 2,958,950 1,479,475 4,438,426 2,219,213 6,657,640 3,328,820 1,664,410 832,205 2,496,616 1,248,308 624,154 312,077 936,232 468,116 234,058 117,029 351,088 175,544 87,772 43,886 21,943 65,830 32,915 98,746 49,373 148,120 74,060 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435

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