λ
Sequence Observatory

5,180,286

2 × 3 × 31 × 27851
Abundant Even Composite

Starting at 5,180,286, the Collatz iteration reaches 1 after 294 steps. The first transition is 2590143; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 27851
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,695,168
Proper Divisor Sum 5,514,882
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5180281 ← → #5180297

Radix Representation

Decimal 5180286
Binary 10011110000101101111110 (23 bits)
Octal 0o23605576
Hexadecimal 0x4F0B7E

Divisor Catalog (16)

1 2 3 6 31 62 93 186 27,851 55,702 83,553 167,106 863,381 1,726,762 2,590,143 5,180,286

Collatz Trajectory (294 steps to reach 1)

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

5,180,286 2,590,143 7,770,430 3,885,215 11,655,646 5,827,823 17,483,470 8,741,735 26,225,206 13,112,603 39,337,810 19,668,905 59,006,716 29,503,358 14,751,679 44,255,038 22,127,519 66,382,558 33,191,279 99,573,838 49,786,919 149,360,758 74,680,379 224,041,138 112,020,569 336,061,708 168,030,854 84,015,427 252,046,282 126,023,141 378,069,424 189,034,712 94,517,356 47,258,678 23,629,339 70,888,018 35,444,009 106,332,028 53,166,014 26,583,007 79,749,022 39,874,511 119,623,534 59,811,767 179,435,302 89,717,651 269,152,954 134,576,477 403,729,432 201,864,716 100,932,358 50,466,179 151,398,538 75,699,269 227,097,808 113,548,904 56,774,452 28,387,226 14,193,613 42,580,840

More profiles

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