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Atlas › Integer Profiles › Node 50,688,880

50,688,880

24 × 5 × 11 × 57601
Abundant Even Composite

50,688,880 factors as 2^4 × 5 × 11 × 57601. Its 40 positive divisors give a proper-divisor sum of 77,878,784, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 57601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 128,567,664
Proper Divisor Sum 77,878,784
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #50688871 ← → #50688893

Radix Representation

Decimal 50688880
Binary 11000001010111001101110000 (26 bits)
Octal 0o301271560
Hexadecimal 0x3057370

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 57,601 115,202 230,404 288,005 460,808 576,010 633,611 921,616 1,152,020 1,267,222 2,304,040 2,534,444 3,168,055 4,608,080 5,068,888 6,336,110 10,137,776 12,672,220 25,344,440 50,688,880

Collatz Trajectory (199 steps to reach 1)

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

50,688,880 25,344,440 12,672,220 6,336,110 3,168,055 9,504,166 4,752,083 14,256,250 7,128,125 21,384,376 10,692,188 5,346,094 2,673,047 8,019,142 4,009,571 12,028,714 6,014,357 18,043,072 9,021,536 4,510,768 2,255,384 1,127,692 563,846 281,923 845,770 422,885 1,268,656 634,328 317,164 158,582 79,291 237,874 118,937 356,812 178,406 89,203 267,610 133,805 401,416 200,708 100,354 50,177 150,532 75,266 37,633 112,900 56,450 28,225 84,676 42,338 21,169 63,508 31,754 15,877 47,632 23,816 11,908 5,954 2,977 8,932

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