4,496,427

3² × 13 × 38431

4,496,427 factors as 3^2 × 13 × 38431. Its 12 positive divisors give a proper-divisor sum of 2,498,197, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 38431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,994,624

Proper Divisor Sum 2,498,197

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4496411 ← → #4496441

Radix Representation

Decimal	4496427
Binary	10001001001110000101011 (23 bits)
Octal	0o21116053
Hexadecimal	0x449C2B

Divisor Catalog (12)

1 3 9 13 39 117 38,431 115,293 345,879 499,603 1,498,809 4,496,427

Collatz Trajectory (110 steps to reach 1)

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

4,496,427 13,489,282 6,744,641 20,233,924 10,116,962 5,058,481 15,175,444 7,587,722 3,793,861 11,381,584 5,690,792 2,845,396 1,422,698 711,349 2,134,048 1,067,024 533,512 266,756 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522

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