λ
Ratio Atlas

6,629,751

32 × 736639
Deficient Odd Composite

6,629,751 factors as 3^2 × 736639. Its 6 positive divisors give a proper-divisor sum of 2,946,569, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 3^2 × 736639
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,576,320
Proper Divisor Sum 2,946,569
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6629747 ← → #6629761

Radix Representation

Decimal 6629751
Binary 11001010010100101110111 (23 bits)
Octal 0o31224567
Hexadecimal 0x652977

Divisor Catalog (6)

1 3 9 736,639 2,209,917 6,629,751

Collatz Trajectory (116 steps to reach 1)

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

6,629,751 19,889,254 9,944,627 29,833,882 14,916,941 44,750,824 22,375,412 11,187,706 5,593,853 16,781,560 8,390,780 4,195,390 2,097,695 6,293,086 3,146,543 9,439,630 4,719,815 14,159,446 7,079,723 21,239,170 10,619,585 31,858,756 15,929,378 7,964,689 23,894,068 11,947,034 5,973,517 17,920,552 8,960,276 4,480,138 2,240,069 6,720,208 3,360,104 1,680,052 840,026 420,013 1,260,040 630,020 315,010 157,505 472,516 236,258 118,129 354,388 177,194 88,597 265,792 132,896 66,448 33,224 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010

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