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Atlas › Integer Profiles › Node 41,999,877

41,999,877

36 × 17 × 3389
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 17 × 3389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 66,694,860
Proper Divisor Sum 24,694,983
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #41999869 ← → #41999891

Radix Representation

Decimal 41999877
Binary 10100000001101111000000101 (26 bits)
Octal 0o240157005
Hexadecimal 0x280DE05

Divisor Catalog (28)

1 3 9 17 27 51 81 153 243 459 729 1,377 3,389 4,131 10,167 12,393 30,501 57,613 91,503 172,839 274,509 518,517 823,527 1,555,551 2,470,581 4,666,653 13,999,959 41,999,877

Collatz Trajectory (152 steps to reach 1)

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

41,999,877 125,999,632 62,999,816 31,499,908 15,749,954 7,874,977 23,624,932 11,812,466 5,906,233 17,718,700 8,859,350 4,429,675 13,289,026 6,644,513 19,933,540 9,966,770 4,983,385 14,950,156 7,475,078 3,737,539 11,212,618 5,606,309 16,818,928 8,409,464 4,204,732 2,102,366 1,051,183 3,153,550 1,576,775 4,730,326 2,365,163 7,095,490 3,547,745 10,643,236 5,321,618 2,660,809 7,982,428 3,991,214 1,995,607 5,986,822 2,993,411 8,980,234 4,490,117 13,470,352 6,735,176 3,367,588 1,683,794 841,897 2,525,692 1,262,846 631,423 1,894,270 947,135 2,841,406 1,420,703 4,262,110 2,131,055 6,393,166 3,196,583 9,589,750

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