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Atlas › Integer Profiles › Node 50,004,625

50,004,625

53 × 11 × 41 × 887
Deficient Odd Composite

50,004,625 factors as 5^3 × 11 × 41 × 887. Its 32 positive divisors give a proper-divisor sum of 19,813,487, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 5^3 × 11 × 41 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,818,112
Proper Divisor Sum 19,813,487
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #50004623 ← → #50004641

Radix Representation

Decimal 50004625
Binary 10111110110000001010010001 (26 bits)
Octal 0o276601221
Hexadecimal 0x2FB0291

Divisor Catalog (32)

1 5 11 25 41 55 125 205 275 451 887 1,025 1,375 2,255 4,435 5,125 9,757 11,275 22,175 36,367 48,785 56,375 110,875 181,835 243,925 400,037 909,175 1,219,625 2,000,185 4,545,875 10,000,925 50,004,625

Collatz Trajectory (106 steps to reach 1)

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

50,004,625 150,013,876 75,006,938 37,503,469 112,510,408 56,255,204 28,127,602 14,063,801 42,191,404 21,095,702 10,547,851 31,643,554 15,821,777 47,465,332 23,732,666 11,866,333 35,599,000 17,799,500 8,899,750 4,449,875 13,349,626 6,674,813 20,024,440 10,012,220 5,006,110 2,503,055 7,509,166 3,754,583 11,263,750 5,631,875 16,895,626 8,447,813 25,343,440 12,671,720 6,335,860 3,167,930 1,583,965 4,751,896 2,375,948 1,187,974 593,987 1,781,962 890,981 2,672,944 1,336,472 668,236 334,118 167,059 501,178 250,589 751,768 375,884 187,942 93,971 281,914 140,957 422,872 211,436 105,718 52,859

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