4,358,972

2² × 31 × 35153

4,358,972 factors as 2^2 × 31 × 35153. Its 12 positive divisors give a proper-divisor sum of 3,515,524, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 35153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,874,496

Proper Divisor Sum 3,515,524

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4358969 ← → #4358989

Radix Representation

Decimal	4358972
Binary	10000101000001100111100 (23 bits)
Octal	0o20501474
Hexadecimal	0x42833C

Divisor Catalog (12)

1 2 4 31 62 124 35,153 70,306 140,612 1,089,743 2,179,486 4,358,972

Collatz Trajectory (211 steps to reach 1)

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

4,358,972 2,179,486 1,089,743 3,269,230 1,634,615 4,903,846 2,451,923 7,355,770 3,677,885 11,033,656 5,516,828 2,758,414 1,379,207 4,137,622 2,068,811 6,206,434 3,103,217 9,309,652 4,654,826 2,327,413 6,982,240 3,491,120 1,745,560 872,780 436,390 218,195 654,586 327,293 981,880 490,940 245,470 122,735 368,206 184,103 552,310 276,155 828,466 414,233 1,242,700 621,350 310,675 932,026 466,013 1,398,040 699,020 349,510 174,755 524,266 262,133 786,400 393,200 196,600 98,300 49,150 24,575 73,726 36,863 110,590 55,295 165,886

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