3,701,944

2³ × 53 × 8731

3,701,944 factors as 2^3 × 53 × 8731. Its 16 positive divisors give a proper-divisor sum of 3,370,976, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 53 × 8731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,072,920

Proper Divisor Sum 3,370,976

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3701939 ← → #3701959

Radix Representation

Decimal	3701944
Binary	1110000111110010111000 (22 bits)
Octal	0o16076270
Hexadecimal	0x387CB8

Divisor Catalog (16)

1 2 4 8 53 106 212 424 8,731 17,462 34,924 69,848 462,743 925,486 1,850,972 3,701,944

Collatz Trajectory (110 steps to reach 1)

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

3,701,944 1,850,972 925,486 462,743 1,388,230 694,115 2,082,346 1,041,173 3,123,520 1,561,760 780,880 390,440 195,220 97,610 48,805 146,416 73,208 36,604 18,302 9,151 27,454 13,727 41,182 20,591 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488

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