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Atlas › Integer Profiles › Node 38,123,525

38,123,525

52 × 11 × 157 × 883
Deficient Odd Composite

38,123,525 factors as 5^2 × 11 × 157 × 883. Its 24 positive divisors give a proper-divisor sum of 13,834,459, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 157 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 51,957,984
Proper Divisor Sum 13,834,459
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #38123497 ← → #38123531

Radix Representation

Decimal 38123525
Binary 10010001011011100000000101 (26 bits)
Octal 0o221334005
Hexadecimal 0x245B805

Divisor Catalog (24)

1 5 11 25 55 157 275 785 883 1,727 3,925 4,415 8,635 9,713 22,075 43,175 48,565 138,631 242,825 693,155 1,524,941 3,465,775 7,624,705 38,123,525

Collatz Trajectory (240 steps to reach 1)

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

38,123,525 114,370,576 57,185,288 28,592,644 14,296,322 7,148,161 21,444,484 10,722,242 5,361,121 16,083,364 8,041,682 4,020,841 12,062,524 6,031,262 3,015,631 9,046,894 4,523,447 13,570,342 6,785,171 20,355,514 10,177,757 30,533,272 15,266,636 7,633,318 3,816,659 11,449,978 5,724,989 17,174,968 8,587,484 4,293,742 2,146,871 6,440,614 3,220,307 9,660,922 4,830,461 14,491,384 7,245,692 3,622,846 1,811,423 5,434,270 2,717,135 8,151,406 4,075,703 12,227,110 6,113,555 18,340,666 9,170,333 27,511,000 13,755,500 6,877,750 3,438,875 10,316,626 5,158,313 15,474,940 7,737,470 3,868,735 11,606,206 5,803,103 17,409,310 8,704,655

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