4,733,812

2² × 19 × 199 × 313

Starting at 4,733,812, the Collatz iteration reaches 1 after 162 steps. The first transition is 2366906; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 199 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,792,000

Proper Divisor Sum 4,058,188

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4733809 ← → #4733843

Radix Representation

Decimal	4733812
Binary	10010000011101101110100 (23 bits)
Octal	0o22035564
Hexadecimal	0x483B74

Divisor Catalog (24)

1 2 4 19 38 76 199 313 398 626 796 1,252 3,781 5,947 7,562 11,894 15,124 23,788 62,287 124,574 249,148 1,183,453 2,366,906 4,733,812

Collatz Trajectory (162 steps to reach 1)

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

4,733,812 2,366,906 1,183,453 3,550,360 1,775,180 887,590 443,795 1,331,386 665,693 1,997,080 998,540 499,270 249,635 748,906 374,453 1,123,360 561,680 280,840 140,420 70,210 35,105 105,316 52,658 26,329 78,988 39,494 19,747 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142

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