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Atlas › Integer Profiles › Node 49,974,366

49,974,366

2 × 3 × 13 × 29 × 22093
Abundant Even Composite

49,974,366 factors as 2 × 3 × 13 × 29 × 22093. Its 32 positive divisors give a proper-divisor sum of 61,379,394, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 29 × 22093
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 111,353,760
Proper Divisor Sum 61,379,394
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #49974349 ← → #49974371

Radix Representation

Decimal 49974366
Binary 10111110101000110001011110 (26 bits)
Octal 0o276506136
Hexadecimal 0x2FA8C5E

Divisor Catalog (32)

1 2 3 6 13 26 29 39 58 78 87 174 377 754 1,131 2,262 22,093 44,186 66,279 132,558 287,209 574,418 640,697 861,627 1,281,394 1,723,254 1,922,091 3,844,182 8,329,061 16,658,122 24,987,183 49,974,366

Collatz Trajectory (160 steps to reach 1)

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

49,974,366 24,987,183 74,961,550 37,480,775 112,442,326 56,221,163 168,663,490 84,331,745 252,995,236 126,497,618 63,248,809 189,746,428 94,873,214 47,436,607 142,309,822 71,154,911 213,464,734 106,732,367 320,197,102 160,098,551 480,295,654 240,147,827 720,443,482 360,221,741 1,080,665,224 540,332,612 270,166,306 135,083,153 405,249,460 202,624,730 101,312,365 303,937,096 151,968,548 75,984,274 37,992,137 113,976,412 56,988,206 28,494,103 85,482,310 42,741,155 128,223,466 64,111,733 192,335,200 96,167,600 48,083,800 24,041,900 12,020,950 6,010,475 18,031,426 9,015,713 27,047,140 13,523,570 6,761,785 20,285,356 10,142,678 5,071,339 15,214,018 7,607,009 22,821,028 11,410,514

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