41,206,360

2³ × 5 × 13 × 109 × 727

41,206,360 factors as 2^3 × 5 × 13 × 109 × 727. Its 64 positive divisors give a proper-divisor sum of 59,694,440, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 109 × 727

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 100,900,800

Proper Divisor Sum 59,694,440

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #41206349 ← → #41206369

Radix Representation

Decimal	41206360
Binary	10011101001100001001011000 (26 bits)
Octal	0o235141130
Hexadecimal	0x274C258

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 727 872 1,090 1,417 1,454 2,180 2,834 2,908 3,635 4,360 5,668 5,816 7,085 7,270 9,451 11,336 14,170 14,540 18,902 28,340 29,080 37,804 47,255 56,680 75,608 79,243 94,510 158,486 189,020 316,972 378,040 396,215 633,944 792,430 1,030,159 1,584,860 2,060,318 3,169,720 4,120,636 5,150,795

Collatz Trajectory (160 steps to reach 1)

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

41,206,360 20,603,180 10,301,590 5,150,795 15,452,386 7,726,193 23,178,580 11,589,290 5,794,645 17,383,936 8,691,968 4,345,984 2,172,992 1,086,496 543,248 271,624 135,812 67,906 33,953 101,860 50,930 25,465 76,396 38,198 19,099 57,298 28,649 85,948 42,974 21,487 64,462 32,231 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262

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