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Atlas › Integer Profiles › Node 50,004,756

50,004,756

22 × 33 × 193 × 2399
Abundant Even Composite

50,004,756 factors as 2^2 × 3^3 × 193 × 2399. Its 48 positive divisors give a proper-divisor sum of 80,363,244, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 193 × 2399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 130,368,000
Proper Divisor Sum 80,363,244
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50004733 ← → #50004763

Radix Representation

Decimal 50004756
Binary 10111110110000001100010100 (26 bits)
Octal 0o276601424
Hexadecimal 0x2FB0314

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 772 1,158 1,737 2,316 2,399 3,474 4,798 5,211 6,948 7,197 9,596 10,422 14,394 20,844 21,591 28,788 43,182 64,773 86,364 129,546 259,092 463,007 926,014 1,389,021 1,852,028 2,778,042 4,167,063 5,556,084 8,334,126 12,501,189 16,668,252 25,002,378 50,004,756

Collatz Trajectory (80 steps to reach 1)

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

50,004,756 25,002,378 12,501,189 37,503,568 18,751,784 9,375,892 4,687,946 2,343,973 7,031,920 3,515,960 1,757,980 878,990 439,495 1,318,486 659,243 1,977,730 988,865 2,966,596 1,483,298 741,649 2,224,948 1,112,474 556,237 1,668,712 834,356 417,178 208,589 625,768 312,884 156,442 78,221 234,664 117,332 58,666 29,333 88,000 44,000 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245

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