8,081,207

37² × 5903

Starting at 8,081,207, the Collatz iteration reaches 1 after 222 steps. The first transition is 24243622; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 37^2 × 5903

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,306,928

Proper Divisor Sum 225,721

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8081197 ← → #8081221

Radix Representation

Decimal	8081207
Binary	11110110100111100110111 (23 bits)
Octal	0o36647467
Hexadecimal	0x7B4F37

Divisor Catalog (6)

1 37 1,369 5,903 218,411 8,081,207

Collatz Trajectory (222 steps to reach 1)

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

8,081,207 24,243,622 12,121,811 36,365,434 18,182,717 54,548,152 27,274,076 13,637,038 6,818,519 20,455,558 10,227,779 30,683,338 15,341,669 46,025,008 23,012,504 11,506,252 5,753,126 2,876,563 8,629,690 4,314,845 12,944,536 6,472,268 3,236,134 1,618,067 4,854,202 2,427,101 7,281,304 3,640,652 1,820,326 910,163 2,730,490 1,365,245 4,095,736 2,047,868 1,023,934 511,967 1,535,902 767,951 2,303,854 1,151,927 3,455,782 1,727,891 5,183,674 2,591,837 7,775,512 3,887,756 1,943,878 971,939 2,915,818 1,457,909 4,373,728 2,186,864 1,093,432 546,716 273,358 136,679 410,038 205,019 615,058 307,529

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