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Atlas › Integer Profiles › Node 3,923,044

3,923,044

22 × 19 × 41 × 1259
Deficient Even Composite

3,923,044 factors as 2^2 × 19 × 41 × 1259. Its 24 positive divisors give a proper-divisor sum of 3,485,756, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 41 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,408,800
Proper Divisor Sum 3,485,756
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3923011 ← → #3923047

Radix Representation

Decimal 3923044
Binary 1110111101110001100100 (22 bits)
Octal 0o16756144
Hexadecimal 0x3BDC64

Divisor Catalog (24)

1 2 4 19 38 41 76 82 164 779 1,259 1,558 2,518 3,116 5,036 23,921 47,842 51,619 95,684 103,238 206,476 980,761 1,961,522 3,923,044

Collatz Trajectory (185 steps to reach 1)

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

3,923,044 1,961,522 980,761 2,942,284 1,471,142 735,571 2,206,714 1,103,357 3,310,072 1,655,036 827,518 413,759 1,241,278 620,639 1,861,918 930,959 2,792,878 1,396,439 4,189,318 2,094,659 6,283,978 3,141,989 9,425,968 4,712,984 2,356,492 1,178,246 589,123 1,767,370 883,685 2,651,056 1,325,528 662,764 331,382 165,691 497,074 248,537 745,612 372,806 186,403 559,210 279,605 838,816 419,408 209,704 104,852 52,426 26,213 78,640 39,320 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148

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