λ
Prime Ledger

3,029,798

2 × 53 × 101 × 283
Deficient Even Composite

3,029,798 has the prime decomposition 2 × 53 × 101 × 283. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 101 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,692,816
Proper Divisor Sum 1,663,018
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3029779 ← → #3029801

Radix Representation

Decimal 3029798
Binary 1011100011101100100110 (22 bits)
Octal 0o13435446
Hexadecimal 0x2E3B26

Divisor Catalog (16)

1 2 53 101 106 202 283 566 5,353 10,706 14,999 28,583 29,998 57,166 1,514,899 3,029,798

Collatz Trajectory (226 steps to reach 1)

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

3,029,798 1,514,899 4,544,698 2,272,349 6,817,048 3,408,524 1,704,262 852,131 2,556,394 1,278,197 3,834,592 1,917,296 958,648 479,324 239,662 119,831 359,494 179,747 539,242 269,621 808,864 404,432 202,216 101,108 50,554 25,277 75,832 37,916 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223

More profiles

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