λ
Prime Ledger

3,048,216

23 × 3 × 107 × 1187
Abundant Even Composite

3,048,216 has the prime decomposition 2^3 × 3 × 107 × 1187. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 107 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,698,240
Proper Divisor Sum 4,650,024
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3048211 ← → #3048217

Radix Representation

Decimal 3048216
Binary 1011101000001100011000 (22 bits)
Octal 0o13501430
Hexadecimal 0x2E8318

Divisor Catalog (32)

1 2 3 4 6 8 12 24 107 214 321 428 642 856 1,187 1,284 2,374 2,568 3,561 4,748 7,122 9,496 14,244 28,488 127,009 254,018 381,027 508,036 762,054 1,016,072 1,524,108 3,048,216

Collatz Trajectory (81 steps to reach 1)

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

3,048,216 1,524,108 762,054 381,027 1,143,082 571,541 1,714,624 857,312 428,656 214,328 107,164 53,582 26,791 80,374 40,187 120,562 60,281 180,844 90,422 45,211 135,634 67,817 203,452 101,726 50,863 152,590 76,295 228,886 114,443 343,330 171,665 514,996 257,498 128,749 386,248 193,124 96,562 48,281 144,844 72,422 36,211 108,634 54,317 162,952 81,476 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223

More profiles

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