λ
Prime Ledger

6,590,832

24 × 3 × 17 × 41 × 197
Abundant Even Composite

6,590,832 has the prime decomposition 2^4 × 3 × 17 × 41 × 197. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 41 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 18,561,312
Proper Divisor Sum 11,970,480
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6590813 ← → #6590833

Radix Representation

Decimal 6590832
Binary 11001001001000101110000 (23 bits)
Octal 0o31110560
Hexadecimal 0x649170

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 197 204 246 272 328 394 408 492 591 656 697 788 816 984 1,182 1,394 1,576 1,968 2,091 2,364 2,788 3,152 3,349 4,182 4,728 5,576 6,698 8,077 8,364 9,456 10,047 11,152 13,396 16,154 16,728 20,094 24,231 26,792 32,308 33,456

Collatz Trajectory (59 steps to reach 1)

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

6,590,832 3,295,416 1,647,708 823,854 411,927 1,235,782 617,891 1,853,674 926,837 2,780,512 1,390,256 695,128 347,564 173,782 86,891 260,674 130,337 391,012 195,506 97,753 293,260 146,630 73,315 219,946 109,973 329,920 164,960 82,480 41,240 20,620 10,310 5,155 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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