λ
Sigma Notebook

6,651,120

24 × 3 × 5 × 7 × 37 × 107
Abundant Even Composite

6,651,120 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 7 × 37 × 107 and its 160 divisors sum to 24,427,008.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 37 × 107
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 24,427,008
Proper Divisor Sum 17,775,888
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6651119 ← → #6651133

Radix Representation

Decimal 6651120
Binary 11001010111110011110000 (23 bits)
Octal 0o31276360
Hexadecimal 0x657CF0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 107 111 112 120 140 148 168 185 210 214 222 240 259 280 296 321 336 370 420 428 444 518 535 555 560 592 642 740 749 777

Collatz Trajectory (178 steps to reach 1)

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

6,651,120 3,325,560 1,662,780 831,390 415,695 1,247,086 623,543 1,870,630 935,315 2,805,946 1,402,973 4,208,920 2,104,460 1,052,230 526,115 1,578,346 789,173 2,367,520 1,183,760 591,880 295,940 147,970 73,985 221,956 110,978 55,489 166,468 83,234 41,617 124,852 62,426 31,213 93,640 46,820 23,410 11,705 35,116 17,558 8,779 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

More profiles

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