λ
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Atlas › Integer Profiles › Node 47,294,656

47,294,656

26 × 53 × 73 × 191
Abundant Even Composite

47,294,656 factors as 2^6 × 53 × 73 × 191. Its 56 positive divisors give a proper-divisor sum of 50,143,808, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^6 × 53 × 73 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 97,438,464
Proper Divisor Sum 50,143,808
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #47294641 ← → #47294657

Radix Representation

Decimal 47294656
Binary 10110100011010100011000000 (26 bits)
Octal 0o264324300
Hexadecimal 0x2D1A8C0

Divisor Catalog (56)

1 2 4 8 16 32 53 64 73 106 146 191 212 292 382 424 584 764 848 1,168 1,528 1,696 2,336 3,056 3,392 3,869 4,672 6,112 7,738 10,123 12,224 13,943 15,476 20,246 27,886 30,952 40,492 55,772 61,904 80,984 111,544 123,808 161,968 223,088 247,616 323,936 446,176 647,872 738,979 892,352 1,477,958 2,955,916 5,911,832 11,823,664 23,647,328 47,294,656

Collatz Trajectory (217 steps to reach 1)

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

47,294,656 23,647,328 11,823,664 5,911,832 2,955,916 1,477,958 738,979 2,216,938 1,108,469 3,325,408 1,662,704 831,352 415,676 207,838 103,919 311,758 155,879 467,638 233,819 701,458 350,729 1,052,188 526,094 263,047 789,142 394,571 1,183,714 591,857 1,775,572 887,786 443,893 1,331,680 665,840 332,920 166,460 83,230 41,615 124,846 62,423 187,270 93,635 280,906 140,453 421,360 210,680 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997

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