λ
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7,779,588

22 × 3 × 19 × 149 × 229
Abundant Even Composite

7,779,588 factors as 2^2 × 3 × 19 × 149 × 229. Its 48 positive divisors give a proper-divisor sum of 11,540,412, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 149 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,320,000
Proper Divisor Sum 11,540,412
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #7779587 ← → #7779593

Radix Representation

Decimal 7779588
Binary 11101101011010100000100 (23 bits)
Octal 0o35532404
Hexadecimal 0x76B504

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 114 149 228 229 298 447 458 596 687 894 916 1,374 1,788 2,748 2,831 4,351 5,662 8,493 8,702 11,324 13,053 16,986 17,404 26,106 33,972 34,121 52,212 68,242 102,363 136,484 204,726 409,452 648,299 1,296,598 1,944,897 2,593,196 3,889,794 7,779,588

Collatz Trajectory (142 steps to reach 1)

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

7,779,588 3,889,794 1,944,897 5,834,692 2,917,346 1,458,673 4,376,020 2,188,010 1,094,005 3,282,016 1,641,008 820,504 410,252 205,126 102,563 307,690 153,845 461,536 230,768 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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