4,768,908

2² × 3 × 17 × 97 × 241

Starting at 4,768,908, the Collatz iteration reaches 1 after 144 steps. The first transition is 2384454; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 97 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,952,864

Proper Divisor Sum 7,183,956

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4768901 ← → #4768909

Radix Representation

Decimal	4768908
Binary	10010001100010010001100 (23 bits)
Octal	0o22142214
Hexadecimal	0x48C48C

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 97 102 194 204 241 291 388 482 582 723 964 1,164 1,446 1,649 2,892 3,298 4,097 4,947 6,596 8,194 9,894 12,291 16,388 19,788 23,377 24,582 46,754 49,164 70,131 93,508 140,262 280,524 397,409 794,818 1,192,227 1,589,636 2,384,454 4,768,908

Collatz Trajectory (144 steps to reach 1)

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

4,768,908 2,384,454 1,192,227 3,576,682 1,788,341 5,365,024 2,682,512 1,341,256 670,628 335,314 167,657 502,972 251,486 125,743 377,230 188,615 565,846 282,923 848,770 424,385 1,273,156 636,578 318,289 954,868 477,434 238,717 716,152 358,076 179,038 89,519 268,558 134,279 402,838 201,419 604,258 302,129 906,388 453,194 226,597 679,792 339,896 169,948 84,974 42,487 127,462 63,731 191,194 95,597 286,792 143,396 71,698 35,849 107,548 53,774 26,887 80,662 40,331 120,994 60,497 181,492

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