λ
Sigma Notebook

5,684,180

22 × 5 × 47 × 6047
Abundant Even Composite

5,684,180 is even and not a perfect square. Its factorization is 2^2 × 5 × 47 × 6047 and its 24 divisors sum to 12,192,768.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 6047
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,192,768
Proper Divisor Sum 6,508,588
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5684167 ← → #5684183

Radix Representation

Decimal 5684180
Binary 10101101011101111010100 (23 bits)
Octal 0o25535724
Hexadecimal 0x56BBD4

Divisor Catalog (24)

1 2 4 5 10 20 47 94 188 235 470 940 6,047 12,094 24,188 30,235 60,470 120,940 284,209 568,418 1,136,836 1,421,045 2,842,090 5,684,180

Collatz Trajectory (108 steps to reach 1)

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

5,684,180 2,842,090 1,421,045 4,263,136 2,131,568 1,065,784 532,892 266,446 133,223 399,670 199,835 599,506 299,753 899,260 449,630 224,815 674,446 337,223 1,011,670 505,835 1,517,506 758,753 2,276,260 1,138,130 569,065 1,707,196 853,598 426,799 1,280,398 640,199 1,920,598 960,299 2,880,898 1,440,449 4,321,348 2,160,674 1,080,337 3,241,012 1,620,506 810,253 2,430,760 1,215,380 607,690 303,845 911,536 455,768 227,884 113,942 56,971 170,914 85,457 256,372 128,186 64,093 192,280 96,140 48,070 24,035 72,106 36,053

More profiles

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