λ
Prime Ledger

5,631,288

23 × 3 × 13 × 18049
Abundant Even Composite

5,631,288 has the prime decomposition 2^3 × 3 × 13 × 18049. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 18049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,162,000
Proper Divisor Sum 9,530,712
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5631287 ← → #5631299

Radix Representation

Decimal 5631288
Binary 10101011110110100111000 (23 bits)
Octal 0o25366470
Hexadecimal 0x55ED38

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 18,049 36,098 54,147 72,196 108,294 144,392 216,588 234,637 433,176 469,274 703,911 938,548 1,407,822 1,877,096 2,815,644 5,631,288

Collatz Trajectory (183 steps to reach 1)

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

5,631,288 2,815,644 1,407,822 703,911 2,111,734 1,055,867 3,167,602 1,583,801 4,751,404 2,375,702 1,187,851 3,563,554 1,781,777 5,345,332 2,672,666 1,336,333 4,009,000 2,004,500 1,002,250 501,125 1,503,376 751,688 375,844 187,922 93,961 281,884 140,942 70,471 211,414 105,707 317,122 158,561 475,684 237,842 118,921 356,764 178,382 89,191 267,574 133,787 401,362 200,681 602,044 301,022 150,511 451,534 225,767 677,302 338,651 1,015,954 507,977 1,523,932 761,966 380,983 1,142,950 571,475 1,714,426 857,213 2,571,640 1,285,820

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