3,909,759

3 × 7² × 26597

3,909,759 factors as 3 × 7^2 × 26597. Its 12 positive divisors give a proper-divisor sum of 2,154,585, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 26597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,064,344

Proper Divisor Sum 2,154,585

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3909749 ← → #3909761

Radix Representation

Decimal	3909759
Binary	1110111010100001111111 (22 bits)
Octal	0o16724177
Hexadecimal	0x3BA87F

Divisor Catalog (12)

1 3 7 21 49 147 26,597 79,791 186,179 558,537 1,303,253 3,909,759

Collatz Trajectory (198 steps to reach 1)

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

3,909,759 11,729,278 5,864,639 17,593,918 8,796,959 26,390,878 13,195,439 39,586,318 19,793,159 59,379,478 29,689,739 89,069,218 44,534,609 133,603,828 66,801,914 33,400,957 100,202,872 50,101,436 25,050,718 12,525,359 37,576,078 18,788,039 56,364,118 28,182,059 84,546,178 42,273,089 126,819,268 63,409,634 31,704,817 95,114,452 47,557,226 23,778,613 71,335,840 35,667,920 17,833,960 8,916,980 4,458,490 2,229,245 6,687,736 3,343,868 1,671,934 835,967 2,507,902 1,253,951 3,761,854 1,880,927 5,642,782 2,821,391 8,464,174 4,232,087 12,696,262 6,348,131 19,044,394 9,522,197 28,566,592 14,283,296 7,141,648 3,570,824 1,785,412 892,706

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