λ
Sigma Notebook

7,200,880

24 × 5 × 90011
Abundant Even Composite

7,200,880 is even and not a perfect square. Its factorization is 2^4 × 5 × 90011 and its 20 divisors sum to 16,742,232.

Prime Factor Structure

Factorization String 2^4 × 5 × 90011
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,742,232
Proper Divisor Sum 9,541,352
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7200859 ← → #7200887

Radix Representation

Decimal 7200880
Binary 11011011110000001110000 (23 bits)
Octal 0o33360160
Hexadecimal 0x6DE070

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 90,011 180,022 360,044 450,055 720,088 900,110 1,440,176 1,800,220 3,600,440 7,200,880

Collatz Trajectory (142 steps to reach 1)

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

7,200,880 3,600,440 1,800,220 900,110 450,055 1,350,166 675,083 2,025,250 1,012,625 3,037,876 1,518,938 759,469 2,278,408 1,139,204 569,602 284,801 854,404 427,202 213,601 640,804 320,402 160,201 480,604 240,302 120,151 360,454 180,227 540,682 270,341 811,024 405,512 202,756 101,378 50,689 152,068 76,034 38,017 114,052 57,026 28,513 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677

More profiles

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