41,569,280

2¹⁰ × 5 × 23 × 353

41,569,280 factors as 2^10 × 5 × 23 × 353. Its 88 positive divisors give a proper-divisor sum of 62,778,592, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^10 × 5 × 23 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 104,347,872

Proper Divisor Sum 62,778,592

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #41569271 ← → #41569289

Radix Representation

Decimal	41569280
Binary	10011110100100110000000000 (26 bits)
Octal	0o236446000
Hexadecimal	0x27A4C00

Divisor Catalog (60 of 88)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 353 368 460 512 640 706 736 920 1,024 1,280 1,412 1,472 1,765 1,840 2,560 2,824 2,944 3,530 3,680 5,120 5,648 5,888 7,060 7,360 8,119 11,296 11,776 14,120 14,720 16,238 22,592 23,552 28,240 29,440 32,476 40,595 45,184 56,480

Collatz Trajectory (147 steps to reach 1)

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

41,569,280 20,784,640 10,392,320 5,196,160 2,598,080 1,299,040 649,520 324,760 162,380 81,190 40,595 121,786 60,893 182,680 91,340 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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