λ
Harmonic Matrix

8,721,150

2 × 3 × 52 × 53 × 1097
Abundant Even Composite

8,721,150 has digital root 6. The neighboring primes are 8721121 and 8721157; its proper-divisor sum differs from the starting integer by 4,614,324.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 53 × 1097
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,056,624
Proper Divisor Sum 13,335,474
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8721121 ← → #8721157

Radix Representation

Decimal 8721150
Binary 100001010001001011111110 (24 bits)
Octal 0o41211376
Hexadecimal 0x8512FE

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1,097 1,325 1,590 2,194 2,650 3,291 3,975 5,485 6,582 7,950 10,970 16,455 27,425 32,910 54,850 58,141 82,275 116,282 164,550 174,423 290,705 348,846 581,410 872,115 1,453,525 1,744,230 2,907,050 4,360,575 8,721,150

Collatz Trajectory (168 steps to reach 1)

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

8,721,150 4,360,575 13,081,726 6,540,863 19,622,590 9,811,295 29,433,886 14,716,943 44,150,830 22,075,415 66,226,246 33,113,123 99,339,370 49,669,685 149,009,056 74,504,528 37,252,264 18,626,132 9,313,066 4,656,533 13,969,600 6,984,800 3,492,400 1,746,200 873,100 436,550 218,275 654,826 327,413 982,240 491,120 245,560 122,780 61,390 30,695 92,086 46,043 138,130 69,065 207,196 103,598 51,799 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220

More profiles

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