λ
Sigma Notebook

5,741,685

34 × 5 × 14177
Deficient Odd Composite

5,741,685 is odd and not a perfect square. Its factorization is 3^4 × 5 × 14177 and its 20 divisors sum to 10,293,228.

Prime Factor Structure

Factorization String 3^4 × 5 × 14177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,293,228
Proper Divisor Sum 4,551,543
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5741621 ← → #5741689

Radix Representation

Decimal 5741685
Binary 10101111001110001110101 (23 bits)
Octal 0o25716165
Hexadecimal 0x579C75

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 14,177 42,531 70,885 127,593 212,655 382,779 637,965 1,148,337 1,913,895 5,741,685

Collatz Trajectory (183 steps to reach 1)

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

5,741,685 17,225,056 8,612,528 4,306,264 2,153,132 1,076,566 538,283 1,614,850 807,425 2,422,276 1,211,138 605,569 1,816,708 908,354 454,177 1,362,532 681,266 340,633 1,021,900 510,950 255,475 766,426 383,213 1,149,640 574,820 287,410 143,705 431,116 215,558 107,779 323,338 161,669 485,008 242,504 121,252 60,626 30,313 90,940 45,470 22,735 68,206 34,103 102,310 51,155 153,466 76,733 230,200 115,100 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518

More profiles

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