λ
Math Directory

3,289,462

2 × 11 × 149521
Deficient Even Composite

3,289,462 factors as 2 × 11 × 149521. Its 8 positive divisors give a proper-divisor sum of 2,093,330, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 11 × 149521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,382,792
Proper Divisor Sum 2,093,330
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3289459 ← → #3289463

Radix Representation

Decimal 3289462
Binary 1100100011000101110110 (22 bits)
Octal 0o14430566
Hexadecimal 0x323176

Divisor Catalog (8)

1 2 11 22 149,521 299,042 1,644,731 3,289,462

Collatz Trajectory (115 steps to reach 1)

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

3,289,462 1,644,731 4,934,194 2,467,097 7,401,292 3,700,646 1,850,323 5,550,970 2,775,485 8,326,456 4,163,228 2,081,614 1,040,807 3,122,422 1,561,211 4,683,634 2,341,817 7,025,452 3,512,726 1,756,363 5,269,090 2,634,545 7,903,636 3,951,818 1,975,909 5,927,728 2,963,864 1,481,932 740,966 370,483 1,111,450 555,725 1,667,176 833,588 416,794 208,397 625,192 312,596 156,298 78,149 234,448 117,224 58,612 29,306 14,653 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478

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