λ
Sigma Notebook

6,545,200

24 × 52 × 16363
Abundant Even Composite

6,545,200 is even and not a perfect square. Its factorization is 2^4 × 5^2 × 16363 and its 30 divisors sum to 15,725,804.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 16363
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 15,725,804
Proper Divisor Sum 9,180,604
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6545197 ← → #6545219

Radix Representation

Decimal 6545200
Binary 11000111101111100110000 (23 bits)
Octal 0o30757460
Hexadecimal 0x63DF30

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 16,363 32,726 65,452 81,815 130,904 163,630 261,808 327,260 409,075 654,520 818,150 1,309,040 1,636,300 3,272,600 6,545,200

Collatz Trajectory (46 steps to reach 1)

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

6,545,200 3,272,600 1,636,300 818,150 409,075 1,227,226 613,613 1,840,840 920,420 460,210 230,105 690,316 345,158 172,579 517,738 258,869 776,608 388,304 194,152 97,076 48,538 24,269 72,808 36,404 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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