4,277,781

3² × 421 × 1129

4,277,781 factors as 3^2 × 421 × 1129. Its 12 positive divisors give a proper-divisor sum of 1,921,399, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 421 × 1129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,199,180

Proper Divisor Sum 1,921,399

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4277759 ← → #4277813

Radix Representation

Decimal	4277781
Binary	10000010100011000010101 (23 bits)
Octal	0o20243025
Hexadecimal	0x414615

Divisor Catalog (12)

1 3 9 421 1,129 1,263 3,387 3,789 10,161 475,309 1,425,927 4,277,781

Collatz Trajectory (123 steps to reach 1)

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

4,277,781 12,833,344 6,416,672 3,208,336 1,604,168 802,084 401,042 200,521 601,564 300,782 150,391 451,174 225,587 676,762 338,381 1,015,144 507,572 253,786 126,893 380,680 190,340 95,170 47,585 142,756 71,378 35,689 107,068 53,534 26,767 80,302 40,151 120,454 60,227 180,682 90,341 271,024 135,512 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755

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