λ
Harmonic Matrix

6,122,940

22 × 3 × 5 × 19 × 41 × 131
Abundant Even Composite

6,122,940 has digital root 6. The neighboring primes are 6122939 and 6122947; its proper-divisor sum differs from the starting integer by 6,381,960.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 41 × 131
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 18,627,840
Proper Divisor Sum 12,504,900
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6122939 ← → #6122947

Radix Representation

Decimal 6122940
Binary 10111010110110110111100 (23 bits)
Octal 0o27266674
Hexadecimal 0x5D6DBC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 131 164 190 205 228 246 262 285 380 393 410 492 524 570 615 655 779 786 820 1,140 1,230 1,310 1,558 1,572 1,965 2,337 2,460 2,489 2,620 3,116 3,895 3,930 4,674 4,978 5,371 7,467 7,790 7,860 9,348

Collatz Trajectory (183 steps to reach 1)

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

6,122,940 3,061,470 1,530,735 4,592,206 2,296,103 6,888,310 3,444,155 10,332,466 5,166,233 15,498,700 7,749,350 3,874,675 11,624,026 5,812,013 17,436,040 8,718,020 4,359,010 2,179,505 6,538,516 3,269,258 1,634,629 4,903,888 2,451,944 1,225,972 612,986 306,493 919,480 459,740 229,870 114,935 344,806 172,403 517,210 258,605 775,816 387,908 193,954 96,977 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370 30,685 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473

More profiles

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