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Atlas › Integer Profiles › Node 50,650,432

50,650,432

26 × 7 × 167 × 677
Abundant Even Composite

50,650,432 factors as 2^6 × 7 × 167 × 677. Its 56 positive divisors give a proper-divisor sum of 65,076,032, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 167 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 115,726,464
Proper Divisor Sum 65,076,032
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #50650427 ← → #50650433

Radix Representation

Decimal 50650432
Binary 11000001001101110101000000 (26 bits)
Octal 0o301156500
Hexadecimal 0x304DD40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 668 677 1,169 1,336 1,354 2,338 2,672 2,708 4,676 4,739 5,344 5,416 9,352 9,478 10,688 10,832 18,704 18,956 21,664 37,408 37,912 43,328 74,816 75,824 113,059 151,648 226,118 303,296 452,236 791,413 904,472 1,582,826 1,808,944 3,165,652 3,617,888 6,331,304 7,235,776 12,662,608 25,325,216 50,650,432

Collatz Trajectory (106 steps to reach 1)

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

50,650,432 25,325,216 12,662,608 6,331,304 3,165,652 1,582,826 791,413 2,374,240 1,187,120 593,560 296,780 148,390 74,195 222,586 111,293 333,880 166,940 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930

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