41,091,224

2³ × 19 × 270337

41,091,224 factors as 2^3 × 19 × 270337. Its 16 positive divisors give a proper-divisor sum of 40,010,176, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 270337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 81,101,400

Proper Divisor Sum 40,010,176

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #41091221 ← → #41091233

Radix Representation

Decimal	41091224
Binary	10011100110000000010011000 (26 bits)
Octal	0o234600230
Hexadecimal	0x2730098

Divisor Catalog (16)

1 2 4 8 19 38 76 152 270,337 540,674 1,081,348 2,162,696 5,136,403 10,272,806 20,545,612 41,091,224

Collatz Trajectory (129 steps to reach 1)

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

41,091,224 20,545,612 10,272,806 5,136,403 15,409,210 7,704,605 23,113,816 11,556,908 5,778,454 2,889,227 8,667,682 4,333,841 13,001,524 6,500,762 3,250,381 9,751,144 4,875,572 2,437,786 1,218,893 3,656,680 1,828,340 914,170 457,085 1,371,256 685,628 342,814 171,407 514,222 257,111 771,334 385,667 1,157,002 578,501 1,735,504 867,752 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207

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