λ
Prime Ledger

5,580,463

72 × 61 × 1867
Deficient Odd Composite

5,580,463 has the prime decomposition 7^2 × 61 × 1867. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 61 × 1867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,601,512
Proper Divisor Sum 1,021,049
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5580457 ← → #5580479

Radix Representation

Decimal 5580463
Binary 10101010010011010101111 (23 bits)
Octal 0o25223257
Hexadecimal 0x5526AF

Divisor Catalog (12)

1 7 49 61 427 1,867 2,989 13,069 91,483 113,887 797,209 5,580,463

Collatz Trajectory (144 steps to reach 1)

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

5,580,463 16,741,390 8,370,695 25,112,086 12,556,043 37,668,130 18,834,065 56,502,196 28,251,098 14,125,549 42,376,648 21,188,324 10,594,162 5,297,081 15,891,244 7,945,622 3,972,811 11,918,434 5,959,217 17,877,652 8,938,826 4,469,413 13,408,240 6,704,120 3,352,060 1,676,030 838,015 2,514,046 1,257,023 3,771,070 1,885,535 5,656,606 2,828,303 8,484,910 4,242,455 12,727,366 6,363,683 19,091,050 9,545,525 28,636,576 14,318,288 7,159,144 3,579,572 1,789,786 894,893 2,684,680 1,342,340 671,170 335,585 1,006,756 503,378 251,689 755,068 377,534 188,767 566,302 283,151 849,454 424,727 1,274,182

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