4,771,326

2 × 3 × 7² × 16229

4,771,326 factors as 2 × 3 × 7^2 × 16229. Its 24 positive divisors give a proper-divisor sum of 6,329,994, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 16229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,101,320

Proper Divisor Sum 6,329,994

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4771321 ← → #4771331

Radix Representation

Decimal	4771326
Binary	10010001100110111111110 (23 bits)
Octal	0o22146776
Hexadecimal	0x48CDFE

Divisor Catalog (24)

Collatz Trajectory (144 steps to reach 1)

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

4,771,326 2,385,663 7,156,990 3,578,495 10,735,486 5,367,743 16,103,230 8,051,615 24,154,846 12,077,423 36,232,270 18,116,135 54,348,406 27,174,203 81,522,610 40,761,305 122,283,916 61,141,958 30,570,979 91,712,938 45,856,469 137,569,408 68,784,704 34,392,352 17,196,176 8,598,088 4,299,044 2,149,522 1,074,761 3,224,284 1,612,142 806,071 2,418,214 1,209,107 3,627,322 1,813,661 5,440,984 2,720,492 1,360,246 680,123 2,040,370 1,020,185 3,060,556 1,530,278 765,139 2,295,418 1,147,709 3,443,128 1,721,564 860,782 430,391 1,291,174 645,587 1,936,762 968,381 2,905,144 1,452,572 726,286 363,143 1,089,430

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