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Atlas › Integer Profiles › Node 5,778,130

5,778,130

2 × 5 × 17 × 41 × 829
Deficient Even Composite

5,778,130 factors as 2 × 5 × 17 × 41 × 829. Its 32 positive divisors give a proper-divisor sum of 5,516,510, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 41 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,294,640
Proper Divisor Sum 5,516,510
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5778077 ← → #5778137

Radix Representation

Decimal 5778130
Binary 10110000010101011010010 (23 bits)
Octal 0o26025322
Hexadecimal 0x582AD2

Divisor Catalog (32)

1 2 5 10 17 34 41 82 85 170 205 410 697 829 1,394 1,658 3,485 4,145 6,970 8,290 14,093 28,186 33,989 67,978 70,465 140,930 169,945 339,890 577,813 1,155,626 2,889,065 5,778,130

Collatz Trajectory (69 steps to reach 1)

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

5,778,130 2,889,065 8,667,196 4,333,598 2,166,799 6,500,398 3,250,199 9,750,598 4,875,299 14,625,898 7,312,949 21,938,848 10,969,424 5,484,712 2,742,356 1,371,178 685,589 2,056,768 1,028,384 514,192 257,096 128,548 64,274 32,137 96,412 48,206 24,103 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024

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