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3,693,795

3 × 5 × 7 × 127 × 277
Deficient Odd Composite

3,693,795 factors as 3 × 5 × 7 × 127 × 277. Its 32 positive divisors give a proper-divisor sum of 3,138,333, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 127 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,832,128
Proper Divisor Sum 3,138,333
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3693791 ← → #3693839

Radix Representation

Decimal 3693795
Binary 1110000101110011100011 (22 bits)
Octal 0o16056343
Hexadecimal 0x385CE3

Divisor Catalog (32)

1 3 5 7 15 21 35 105 127 277 381 635 831 889 1,385 1,905 1,939 2,667 4,155 4,445 5,817 9,695 13,335 29,085 35,179 105,537 175,895 246,253 527,685 738,759 1,231,265 3,693,795

Collatz Trajectory (172 steps to reach 1)

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

3,693,795 11,081,386 5,540,693 16,622,080 8,311,040 4,155,520 2,077,760 1,038,880 519,440 259,720 129,860 64,930 32,465 97,396 48,698 24,349 73,048 36,524 18,262 9,131 27,394 13,697 41,092 20,546 10,273 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

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