λ
Prime Ledger

3,217,028

22 × 29 × 27733
Deficient Even Composite

3,217,028 has the prime decomposition 2^2 × 29 × 27733. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 27733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,824,140
Proper Divisor Sum 2,607,112
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3217021 ← → #3217043

Radix Representation

Decimal 3217028
Binary 1100010001011010000100 (22 bits)
Octal 0o14213204
Hexadecimal 0x311684

Divisor Catalog (12)

1 2 4 29 58 116 27,733 55,466 110,932 804,257 1,608,514 3,217,028

Collatz Trajectory (146 steps to reach 1)

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

3,217,028 1,608,514 804,257 2,412,772 1,206,386 603,193 1,809,580 904,790 452,395 1,357,186 678,593 2,035,780 1,017,890 508,945 1,526,836 763,418 381,709 1,145,128 572,564 286,282 143,141 429,424 214,712 107,356 53,678 26,839 80,518 40,259 120,778 60,389 181,168 90,584 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470

More profiles

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