λ
Ratio Atlas

3,735,933

3 × 907 × 1373
Deficient Odd Composite

3,735,933 factors as 3 × 907 × 1373. Its 8 positive divisors give a proper-divisor sum of 1,254,435, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 907 × 1373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,990,368
Proper Divisor Sum 1,254,435
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3735931 ← → #3735943

Radix Representation

Decimal 3735933
Binary 1110010000000101111101 (22 bits)
Octal 0o16200575
Hexadecimal 0x39017D

Divisor Catalog (8)

1 3 907 1,373 2,721 4,119 1,245,311 3,735,933

Collatz Trajectory (159 steps to reach 1)

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

3,735,933 11,207,800 5,603,900 2,801,950 1,400,975 4,202,926 2,101,463 6,304,390 3,152,195 9,456,586 4,728,293 14,184,880 7,092,440 3,546,220 1,773,110 886,555 2,659,666 1,329,833 3,989,500 1,994,750 997,375 2,992,126 1,496,063 4,488,190 2,244,095 6,732,286 3,366,143 10,098,430 5,049,215 15,147,646 7,573,823 22,721,470 11,360,735 34,082,206 17,041,103 51,123,310 25,561,655 76,684,966 38,342,483 115,027,450 57,513,725 172,541,176 86,270,588 43,135,294 21,567,647 64,702,942 32,351,471 97,054,414 48,527,207 145,581,622 72,790,811 218,372,434 109,186,217 327,558,652 163,779,326 81,889,663 245,668,990 122,834,495 368,503,486 184,251,743

More profiles

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