41,565,800

2³ × 5² × 37 × 41 × 137

41,565,800 factors as 2^3 × 5^2 × 37 × 41 × 137. Its 96 positive divisors give a proper-divisor sum of 60,849,520, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 37 × 41 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 102,415,320

Proper Divisor Sum 60,849,520

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #41565791 ← → #41565803

Radix Representation

Decimal	41565800
Binary	10011110100011111001101000 (26 bits)
Octal	0o236437150
Hexadecimal	0x27A3E68

Divisor Catalog (60 of 96)

1 2 4 5 8 10 20 25 37 40 41 50 74 82 100 137 148 164 185 200 205 274 296 328 370 410 548 685 740 820 925 1,025 1,096 1,370 1,480 1,517 1,640 1,850 2,050 2,740 3,034 3,425 3,700 4,100 5,069 5,480 5,617 6,068 6,850 7,400 7,585 8,200 10,138 11,234 12,136 13,700 15,170 20,276 22,468 25,345

Collatz Trajectory (222 steps to reach 1)

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

41,565,800 20,782,900 10,391,450 5,195,725 15,587,176 7,793,588 3,896,794 1,948,397 5,845,192 2,922,596 1,461,298 730,649 2,191,948 1,095,974 547,987 1,643,962 821,981 2,465,944 1,232,972 616,486 308,243 924,730 462,365 1,387,096 693,548 346,774 173,387 520,162 260,081 780,244 390,122 195,061 585,184 292,592 146,296 73,148 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721 185,164 92,582 46,291 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942

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