λ
Prime Ledger

5,567,550

2 × 3 × 52 × 37117
Abundant Even Composite

5,567,550 has the prime decomposition 2 × 3 × 5^2 × 37117. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 37117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,807,896
Proper Divisor Sum 8,240,346
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5567539 ← → #5567561

Radix Representation

Decimal 5567550
Binary 10101001111010000111110 (23 bits)
Octal 0o25172076
Hexadecimal 0x54F43E

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 37,117 74,234 111,351 185,585 222,702 371,170 556,755 927,925 1,113,510 1,855,850 2,783,775 5,567,550

Collatz Trajectory (183 steps to reach 1)

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

5,567,550 2,783,775 8,351,326 4,175,663 12,526,990 6,263,495 18,790,486 9,395,243 28,185,730 14,092,865 42,278,596 21,139,298 10,569,649 31,708,948 15,854,474 7,927,237 23,781,712 11,890,856 5,945,428 2,972,714 1,486,357 4,459,072 2,229,536 1,114,768 557,384 278,692 139,346 69,673 209,020 104,510 52,255 156,766 78,383 235,150 117,575 352,726 176,363 529,090 264,545 793,636 396,818 198,409 595,228 297,614 148,807 446,422 223,211 669,634 334,817 1,004,452 502,226 251,113 753,340 376,670 188,335 565,006 282,503 847,510 423,755 1,271,266

More profiles

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