4,463,199

3² × 13 × 37 × 1031

4,463,199 factors as 3^2 × 13 × 37 × 1031. Its 24 positive divisors give a proper-divisor sum of 2,674,113, so this integer is deficient. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 37 × 1031

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,137,312

Proper Divisor Sum 2,674,113

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4463191 ← → #4463203

Radix Representation

Decimal	4463199
Binary	10001000001101001011111 (23 bits)
Octal	0o21015137
Hexadecimal	0x441A5F

Divisor Catalog (24)

1 3 9 13 37 39 111 117 333 481 1,031 1,443 3,093 4,329 9,279 13,403 38,147 40,209 114,441 120,627 343,323 495,911 1,487,733 4,463,199

Collatz Trajectory (286 steps to reach 1)

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

4,463,199 13,389,598 6,694,799 20,084,398 10,042,199 30,126,598 15,063,299 45,189,898 22,594,949 67,784,848 33,892,424 16,946,212 8,473,106 4,236,553 12,709,660 6,354,830 3,177,415 9,532,246 4,766,123 14,298,370 7,149,185 21,447,556 10,723,778 5,361,889 16,085,668 8,042,834 4,021,417 12,064,252 6,032,126 3,016,063 9,048,190 4,524,095 13,572,286 6,786,143 20,358,430 10,179,215 30,537,646 15,268,823 45,806,470 22,903,235 68,709,706 34,354,853 103,064,560 51,532,280 25,766,140 12,883,070 6,441,535 19,324,606 9,662,303 28,986,910 14,493,455 43,480,366 21,740,183 65,220,550 32,610,275 97,830,826 48,915,413 146,746,240 73,373,120 36,686,560

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