4,651,320

2³ × 3 × 5 × 83 × 467

Starting at 4,651,320, the Collatz iteration reaches 1 after 162 steps. The first transition is 2325660; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 83 × 467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,152,320

Proper Divisor Sum 9,501,000

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4651303 ← → #4651321

Radix Representation

Decimal	4651320
Binary	10001101111100100111000 (23 bits)
Octal	0o21574470
Hexadecimal	0x46F938

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 467 498 664 830 934 996 1,245 1,401 1,660 1,868 1,992 2,335 2,490 2,802 3,320 3,736 4,670 4,980 5,604 7,005 9,340 9,960 11,208 14,010 18,680 28,020 38,761 56,040 77,522 116,283 155,044 193,805 232,566 310,088 387,610 465,132 581,415 775,220 930,264

Collatz Trajectory (162 steps to reach 1)

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

4,651,320 2,325,660 1,162,830 581,415 1,744,246 872,123 2,616,370 1,308,185 3,924,556 1,962,278 981,139 2,943,418 1,471,709 4,415,128 2,207,564 1,103,782 551,891 1,655,674 827,837 2,483,512 1,241,756 620,878 310,439 931,318 465,659 1,396,978 698,489 2,095,468 1,047,734 523,867 1,571,602 785,801 2,357,404 1,178,702 589,351 1,768,054 884,027 2,652,082 1,326,041 3,978,124 1,989,062 994,531 2,983,594 1,491,797 4,475,392 2,237,696 1,118,848 559,424 279,712 139,856 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918

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