8,734,932

2² × 3³ × 31 × 2609

Starting at 8,734,932, the Collatz iteration reaches 1 after 88 steps. The first transition is 4367466; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 31 × 2609

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,385,600

Proper Divisor Sum 14,650,668

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8734919 ← → #8734981

Radix Representation

Decimal	8734932
Binary	100001010100100011010100 (24 bits)
Octal	0o41244324
Hexadecimal	0x8548D4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1,116 1,674 2,609 3,348 5,218 7,827 10,436 15,654 23,481 31,308 46,962 70,443 80,879 93,924 140,886 161,758 242,637 281,772 323,516 485,274 727,911 970,548 1,455,822 2,183,733 2,911,644 4,367,466 8,734,932

Collatz Trajectory (88 steps to reach 1)

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

8,734,932 4,367,466 2,183,733 6,551,200 3,275,600 1,637,800 818,900 409,450 204,725 614,176 307,088 153,544 76,772 38,386 19,193 57,580 28,790 14,395 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43

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