4,136,937

3 × 7 × 29 × 6793

Starting at 4,136,937, the Collatz iteration reaches 1 after 198 steps. The first transition is 12410812; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 6793

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,522,240

Proper Divisor Sum 2,385,303

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4136917 ← → #4136939

Radix Representation

Decimal	4136937
Binary	1111110001111111101001 (22 bits)
Octal	0o17617751
Hexadecimal	0x3F1FE9

Divisor Catalog (16)

1 3 7 21 29 87 203 609 6,793 20,379 47,551 142,653 196,997 590,991 1,378,979 4,136,937

Collatz Trajectory (198 steps to reach 1)

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

4,136,937 12,410,812 6,205,406 3,102,703 9,308,110 4,654,055 13,962,166 6,981,083 20,943,250 10,471,625 31,414,876 15,707,438 7,853,719 23,561,158 11,780,579 35,341,738 17,670,869 53,012,608 26,506,304 13,253,152 6,626,576 3,313,288 1,656,644 828,322 414,161 1,242,484 621,242 310,621 931,864 465,932 232,966 116,483 349,450 174,725 524,176 262,088 131,044 65,522 32,761 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444

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