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Atlas › Integer Profiles › Node 50,007,402

50,007,402

2 × 33 × 31 × 29873
Abundant Even Composite

50,007,402 factors as 2 × 3^3 × 31 × 29873. Its 32 positive divisors give a proper-divisor sum of 64,708,758, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 29873
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 114,716,160
Proper Divisor Sum 64,708,758
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #50007383 ← → #50007403

Radix Representation

Decimal 50007402
Binary 10111110110000110101101010 (26 bits)
Octal 0o276606552
Hexadecimal 0x2FB0D6A

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1,674 29,873 59,746 89,619 179,238 268,857 537,714 806,571 926,063 1,613,142 1,852,126 2,778,189 5,556,378 8,334,567 16,669,134 25,003,701 50,007,402

Collatz Trajectory (155 steps to reach 1)

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

50,007,402 25,003,701 75,011,104 37,505,552 18,752,776 9,376,388 4,688,194 2,344,097 7,032,292 3,516,146 1,758,073 5,274,220 2,637,110 1,318,555 3,955,666 1,977,833 5,933,500 2,966,750 1,483,375 4,450,126 2,225,063 6,675,190 3,337,595 10,012,786 5,006,393 15,019,180 7,509,590 3,754,795 11,264,386 5,632,193 16,896,580 8,448,290 4,224,145 12,672,436 6,336,218 3,168,109 9,504,328 4,752,164 2,376,082 1,188,041 3,564,124 1,782,062 891,031 2,673,094 1,336,547 4,009,642 2,004,821 6,014,464 3,007,232 1,503,616 751,808 375,904 187,952 93,976 46,988 23,494 11,747 35,242 17,621 52,864

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