4,709,736

2³ × 3² × 65413

Starting at 4,709,736, the Collatz iteration reaches 1 after 149 steps. The first transition is 2354868; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 65413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,755,730

Proper Divisor Sum 8,045,994

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4709723 ← → #4709753

Radix Representation

Decimal	4709736
Binary	10001111101110101101000 (23 bits)
Octal	0o21756550
Hexadecimal	0x47DD68

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 65,413 130,826 196,239 261,652 392,478 523,304 588,717 784,956 1,177,434 1,569,912 2,354,868 4,709,736

Collatz Trajectory (149 steps to reach 1)

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

4,709,736 2,354,868 1,177,434 588,717 1,766,152 883,076 441,538 220,769 662,308 331,154 165,577 496,732 248,366 124,183 372,550 186,275 558,826 279,413 838,240 419,120 209,560 104,780 52,390 26,195 78,586 39,293 117,880 58,940 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888

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