λ
Harmonic Matrix

6,120,191

7 × 11 × 61 × 1303
Deficient Odd Composite

6,120,191 has digital root 2. The neighboring primes are 6120173 and 6120197; its proper-divisor sum differs from the starting integer by -4,478,974.

Prime Factor Structure

Factorization String 7 × 11 × 61 × 1303
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,761,408
Proper Divisor Sum 1,641,217
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #6120173 ← → #6120197

Radix Representation

Decimal 6120191
Binary 10111010110001011111111 (23 bits)
Octal 0o27261377
Hexadecimal 0x5D62FF

Divisor Catalog (16)

1 7 11 61 77 427 671 1,303 4,697 9,121 14,333 79,483 100,331 556,381 874,313 6,120,191

Collatz Trajectory (139 steps to reach 1)

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

6,120,191 18,360,574 9,180,287 27,540,862 13,770,431 41,311,294 20,655,647 61,966,942 30,983,471 92,950,414 46,475,207 139,425,622 69,712,811 209,138,434 104,569,217 313,707,652 156,853,826 78,426,913 235,280,740 117,640,370 58,820,185 176,460,556 88,230,278 44,115,139 132,345,418 66,172,709 198,518,128 99,259,064 49,629,532 24,814,766 12,407,383 37,222,150 18,611,075 55,833,226 27,916,613 83,749,840 41,874,920 20,937,460 10,468,730 5,234,365 15,703,096 7,851,548 3,925,774 1,962,887 5,888,662 2,944,331 8,832,994 4,416,497 13,249,492 6,624,746 3,312,373 9,937,120 4,968,560 2,484,280 1,242,140 621,070 310,535 931,606 465,803 1,397,410

More profiles

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