4,003,137

3² × 444793

Starting at 4,003,137, the Collatz iteration reaches 1 after 97 steps. The first transition is 12009412; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 444793

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,782,322

Proper Divisor Sum 1,779,185

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4003133 ← → #4003147

Radix Representation

Decimal	4003137
Binary	1111010001010101000001 (22 bits)
Octal	0o17212501
Hexadecimal	0x3D1541

Divisor Catalog (6)

1 3 9 444,793 1,334,379 4,003,137

Collatz Trajectory (97 steps to reach 1)

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

4,003,137 12,009,412 6,004,706 3,002,353 9,007,060 4,503,530 2,251,765 6,755,296 3,377,648 1,688,824 844,412 422,206 211,103 633,310 316,655 949,966 474,983 1,424,950 712,475 2,137,426 1,068,713 3,206,140 1,603,070 801,535 2,404,606 1,202,303 3,606,910 1,803,455 5,410,366 2,705,183 8,115,550 4,057,775 12,173,326 6,086,663 18,259,990 9,129,995 27,389,986 13,694,993 41,084,980 20,542,490 10,271,245 30,813,736 15,406,868 7,703,434 3,851,717 11,555,152 5,777,576 2,888,788 1,444,394 722,197 2,166,592 1,083,296 541,648 270,824 135,412 67,706 33,853 101,560 50,780 25,390

← Previous Integer #4,003,136 Browse Full Index Next Integer #4,003,138 →