λ
Sigma Notebook

5,400,360

23 × 32 × 5 × 7 × 2143
Abundant Even Composite

5,400,360 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 5 × 7 × 2143 and its 96 divisors sum to 20,067,840.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 2143
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 20,067,840
Proper Divisor Sum 14,667,480
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5400359 ← → #5400419

Radix Representation

Decimal 5400360
Binary 10100100110011100101000 (23 bits)
Octal 0o24463450
Hexadecimal 0x526728

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1,260 2,143 2,520 4,286 6,429 8,572 10,715 12,858 15,001 17,144 19,287 21,430 25,716 30,002

Collatz Trajectory (232 steps to reach 1)

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

5,400,360 2,700,180 1,350,090 675,045 2,025,136 1,012,568 506,284 253,142 126,571 379,714 189,857 569,572 284,786 142,393 427,180 213,590 106,795 320,386 160,193 480,580 240,290 120,145 360,436 180,218 90,109 270,328 135,164 67,582 33,791 101,374 50,687 152,062 76,031 228,094 114,047 342,142 171,071 513,214 256,607 769,822 384,911 1,154,734 577,367 1,732,102 866,051 2,598,154 1,299,077 3,897,232 1,948,616 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519

More profiles

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