λ
Sigma Notebook

5,473,760

25 × 5 × 34211
Abundant Even Composite

5,473,760 is even and not a perfect square. Its factorization is 2^5 × 5 × 34211 and its 24 divisors sum to 12,932,136.

Prime Factor Structure

Factorization String 2^5 × 5 × 34211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,932,136
Proper Divisor Sum 7,458,376
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5473757 ← → #5473781

Radix Representation

Decimal 5473760
Binary 10100111000010111100000 (23 bits)
Octal 0o24702740
Hexadecimal 0x5385E0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 34,211 68,422 136,844 171,055 273,688 342,110 547,376 684,220 1,094,752 1,368,440 2,736,880 5,473,760

Collatz Trajectory (157 steps to reach 1)

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

5,473,760 2,736,880 1,368,440 684,220 342,110 171,055 513,166 256,583 769,750 384,875 1,154,626 577,313 1,731,940 865,970 432,985 1,298,956 649,478 324,739 974,218 487,109 1,461,328 730,664 365,332 182,666 91,333 274,000 137,000 68,500 34,250 17,125 51,376 25,688 12,844 6,422 3,211 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970

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