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Atlas › Integer Profiles › Node 50,005,952

50,005,952

26 × 367 × 2129
Deficient Even Composite

50,005,952 factors as 2^6 × 367 × 2129. Its 28 positive divisors give a proper-divisor sum of 49,541,728, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^6 × 367 × 2129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 99,547,680
Proper Divisor Sum 49,541,728
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #50005951 ← → #50005957

Radix Representation

Decimal 50005952
Binary 10111110110000011111000000 (26 bits)
Octal 0o276603700
Hexadecimal 0x2FB07C0

Divisor Catalog (28)

1 2 4 8 16 32 64 367 734 1,468 2,129 2,936 4,258 5,872 8,516 11,744 17,032 23,488 34,064 68,128 136,256 781,343 1,562,686 3,125,372 6,250,744 12,501,488 25,002,976 50,005,952

Collatz Trajectory (160 steps to reach 1)

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

50,005,952 25,002,976 12,501,488 6,250,744 3,125,372 1,562,686 781,343 2,344,030 1,172,015 3,516,046 1,758,023 5,274,070 2,637,035 7,911,106 3,955,553 11,866,660 5,933,330 2,966,665 8,899,996 4,449,998 2,224,999 6,674,998 3,337,499 10,012,498 5,006,249 15,018,748 7,509,374 3,754,687 11,264,062 5,632,031 16,896,094 8,448,047 25,344,142 12,672,071 38,016,214 19,008,107 57,024,322 28,512,161 85,536,484 42,768,242 21,384,121 64,152,364 32,076,182 16,038,091 48,114,274 24,057,137 72,171,412 36,085,706 18,042,853 54,128,560 27,064,280 13,532,140 6,766,070 3,383,035 10,149,106 5,074,553 15,223,660 7,611,830 3,805,915 11,417,746

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