λ
Integer Codex

5,401,130

2 × 5 × 7 × 19 × 31 × 131
Abundant Even Composite

For 5,401,130, the 64 positive divisors have a total of 12,165,120. Removing 5,401,130 leaves 6,763,990, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 19 × 31 × 131
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,165,120
Proper Divisor Sum 6,763,990
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #5401117 ← → #5401133

Radix Representation

Decimal 5401130
Binary 10100100110101000101010 (23 bits)
Octal 0o24465052
Hexadecimal 0x526A2A

Divisor Catalog (60 of 64)

1 2 5 7 10 14 19 31 35 38 62 70 95 131 133 155 190 217 262 266 310 434 589 655 665 917 1,085 1,178 1,310 1,330 1,834 2,170 2,489 2,945 4,061 4,123 4,585 4,978 5,890 8,122 8,246 9,170 12,445 17,423 20,305 20,615 24,890 28,427 34,846 40,610 41,230 56,854 77,159 87,115 142,135 154,318 174,230 284,270 385,795 540,113

Collatz Trajectory (87 steps to reach 1)

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

5,401,130 2,700,565 8,101,696 4,050,848 2,025,424 1,012,712 506,356 253,178 126,589 379,768 189,884 94,942 47,471 142,414 71,207 213,622 106,811 320,434 160,217 480,652 240,326 120,163 360,490 180,245 540,736 270,368 135,184 67,592 33,796 16,898 8,449 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722

More profiles

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