λ
Prime Ledger

9,716,841

38 × 1481
Deficient Odd Composite

9,716,841 has the prime decomposition 3^8 × 1481. Its 2 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 3^8 × 1481
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 14,584,362
Proper Divisor Sum 4,867,521
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9716821 ← → #9716851

Radix Representation

Decimal 9716841
Binary 100101000100010001101001 (24 bits)
Octal 0o45042151
Hexadecimal 0x944469

Divisor Catalog (18)

1 3 9 27 81 243 729 1,481 2,187 4,443 6,561 13,329 39,987 119,961 359,883 1,079,649 3,238,947 9,716,841

Collatz Trajectory (119 steps to reach 1)

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

9,716,841 29,150,524 14,575,262 7,287,631 21,862,894 10,931,447 32,794,342 16,397,171 49,191,514 24,595,757 73,787,272 36,893,636 18,446,818 9,223,409 27,670,228 13,835,114 6,917,557 20,752,672 10,376,336 5,188,168 2,594,084 1,297,042 648,521 1,945,564 972,782 486,391 1,459,174 729,587 2,188,762 1,094,381 3,283,144 1,641,572 820,786 410,393 1,231,180 615,590 307,795 923,386 461,693 1,385,080 692,540 346,270 173,135 519,406 259,703 779,110 389,555 1,168,666 584,333 1,753,000 876,500 438,250 219,125 657,376 328,688 164,344 82,172 41,086 20,543 61,630

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