4,767,406

2 × 7² × 48647

4,767,406 factors as 2 × 7^2 × 48647. Its 12 positive divisors give a proper-divisor sum of 3,551,402, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 48647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,318,808

Proper Divisor Sum 3,551,402

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4767391 ← → #4767409

Radix Representation

Decimal	4767406
Binary	10010001011111010101110 (23 bits)
Octal	0o22137256
Hexadecimal	0x48BEAE

Divisor Catalog (12)

1 2 7 14 49 98 48,647 97,294 340,529 681,058 2,383,703 4,767,406

Collatz Trajectory (100 steps to reach 1)

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

4,767,406 2,383,703 7,151,110 3,575,555 10,726,666 5,363,333 16,090,000 8,045,000 4,022,500 2,011,250 1,005,625 3,016,876 1,508,438 754,219 2,262,658 1,131,329 3,393,988 1,696,994 848,497 2,545,492 1,272,746 636,373 1,909,120 954,560 477,280 238,640 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844

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