3,733,405

5 × 13 × 19 × 3023

3,733,405 factors as 5 × 13 × 19 × 3023. Its 16 positive divisors give a proper-divisor sum of 1,346,915, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 5 × 13 × 19 × 3023

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,080,320

Proper Divisor Sum 1,346,915

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3733399 ← → #3733417

Radix Representation

Decimal	3733405
Binary	1110001111011110011101 (22 bits)
Octal	0o16173635
Hexadecimal	0x38F79D

Divisor Catalog (16)

1 5 13 19 65 95 247 1,235 3,023 15,115 39,299 57,437 196,495 287,185 746,681 3,733,405

Collatz Trajectory (110 steps to reach 1)

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

3,733,405 11,200,216 5,600,108 2,800,054 1,400,027 4,200,082 2,100,041 6,300,124 3,150,062 1,575,031 4,725,094 2,362,547 7,087,642 3,543,821 10,631,464 5,315,732 2,657,866 1,328,933 3,986,800 1,993,400 996,700 498,350 249,175 747,526 373,763 1,121,290 560,645 1,681,936 840,968 420,484 210,242 105,121 315,364 157,682 78,841 236,524 118,262 59,131 177,394 88,697 266,092 133,046 66,523 199,570 99,785 299,356 149,678 74,839 224,518 112,259 336,778 168,389 505,168 252,584 126,292 63,146 31,573 94,720 47,360 23,680

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