λ
Sigma Notebook

7,773,636

22 × 3 × 13 × 49831
Abundant Even Composite

7,773,636 is even and not a perfect square. Its factorization is 2^2 × 3 × 13 × 49831 and its 24 divisors sum to 19,534,144.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 49831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,534,144
Proper Divisor Sum 11,760,508
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7773617 ← → #7773673

Radix Representation

Decimal 7773636
Binary 11101101001110111000100 (23 bits)
Octal 0o35516704
Hexadecimal 0x769DC4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 49,831 99,662 149,493 199,324 298,986 597,972 647,803 1,295,606 1,943,409 2,591,212 3,886,818 7,773,636

Collatz Trajectory (80 steps to reach 1)

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

7,773,636 3,886,818 1,943,409 5,830,228 2,915,114 1,457,557 4,372,672 2,186,336 1,093,168 546,584 273,292 136,646 68,323 204,970 102,485 307,456 153,728 76,864 38,432 19,216 9,608 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

More profiles

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