3,397,705

5 × 17 × 71 × 563

3,397,705 factors as 5 × 17 × 71 × 563. Its 16 positive divisors give a proper-divisor sum of 987,959, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 5 × 17 × 71 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,385,664

Proper Divisor Sum 987,959

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3397703 ← → #3397717

Radix Representation

Decimal	3397705
Binary	1100111101100001001001 (22 bits)
Octal	0o14754111
Hexadecimal	0x33D849

Divisor Catalog (16)

1 5 17 71 85 355 563 1,207 2,815 6,035 9,571 39,973 47,855 199,865 679,541 3,397,705

Collatz Trajectory (208 steps to reach 1)

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

3,397,705 10,193,116 5,096,558 2,548,279 7,644,838 3,822,419 11,467,258 5,733,629 17,200,888 8,600,444 4,300,222 2,150,111 6,450,334 3,225,167 9,675,502 4,837,751 14,513,254 7,256,627 21,769,882 10,884,941 32,654,824 16,327,412 8,163,706 4,081,853 12,245,560 6,122,780 3,061,390 1,530,695 4,592,086 2,296,043 6,888,130 3,444,065 10,332,196 5,166,098 2,583,049 7,749,148 3,874,574 1,937,287 5,811,862 2,905,931 8,717,794 4,358,897 13,076,692 6,538,346 3,269,173 9,807,520 4,903,760 2,451,880 1,225,940 612,970 306,485 919,456 459,728 229,864 114,932 57,466 28,733 86,200 43,100 21,550

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