12,831,028

2² × 7 × 43 × 10657

12,831,028 factors as 2^2 × 7 × 43 × 10657. Its 24 positive divisors give a proper-divisor sum of 13,430,284, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 10657

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 26,261,312

Proper Divisor Sum 13,430,284

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #12831001 ← → #12831029

Radix Representation

Decimal	12831028
Binary	110000111100100100110100 (24 bits)
Octal	0o60744464
Hexadecimal	0xC3C934

Divisor Catalog (24)

Collatz Trajectory (78 steps to reach 1)

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

12,831,028 6,415,514 3,207,757 9,623,272 4,811,636 2,405,818 1,202,909 3,608,728 1,804,364 902,182 451,091 1,353,274 676,637 2,029,912 1,014,956 507,478 253,739 761,218 380,609 1,141,828 570,914 285,457 856,372 428,186 214,093 642,280 321,140 160,570 80,285 240,856 120,428 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261

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