λ
Sigma Notebook

6,554,880

28 × 32 × 5 × 569
Abundant Even Composite

6,554,880 is even and not a perfect square. Its factorization is 2^8 × 3^2 × 5 × 569 and its 108 divisors sum to 22,719,060.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 5 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 22,719,060
Proper Divisor Sum 16,164,180
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6554879 ← → #6554897

Radix Representation

Decimal 6554880
Binary 11001000000010100000000 (23 bits)
Octal 0o31002400
Hexadecimal 0x640500

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 569 576 640 720 768 960 1,138 1,152 1,280 1,440 1,707 1,920 2,276 2,304 2,845 2,880 3,414 3,840 4,552 5,121

Collatz Trajectory (134 steps to reach 1)

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

6,554,880 3,277,440 1,638,720 819,360 409,680 204,840 102,420 51,210 25,605 76,816 38,408 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

More profiles

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