8,586,738

2 × 3² × 37 × 12893

Starting at 8,586,738, the Collatz iteration reaches 1 after 243 steps. The first transition is 4293369; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 12893

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,108,908

Proper Divisor Sum 10,522,170

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8586737 ← → #8586761

Radix Representation

Decimal	8586738
Binary	100000110000010111110010 (24 bits)
Octal	0o40602762
Hexadecimal	0x8305F2

Divisor Catalog (24)

1 2 3 6 9 18 37 74 111 222 333 666 12,893 25,786 38,679 77,358 116,037 232,074 477,041 954,082 1,431,123 2,862,246 4,293,369 8,586,738

Collatz Trajectory (243 steps to reach 1)

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

8,586,738 4,293,369 12,880,108 6,440,054 3,220,027 9,660,082 4,830,041 14,490,124 7,245,062 3,622,531 10,867,594 5,433,797 16,301,392 8,150,696 4,075,348 2,037,674 1,018,837 3,056,512 1,528,256 764,128 382,064 191,032 95,516 47,758 23,879 71,638 35,819 107,458 53,729 161,188 80,594 40,297 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472

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