6,561,648

2⁴ × 3⁴ × 61 × 83

6,561,648 factors as 2^4 × 3^4 × 61 × 83. Its 100 positive divisors give a proper-divisor sum of 12,973,560, so this integer is abundant. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 61 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 19,535,208

Proper Divisor Sum 12,973,560

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6561637 ← → #6561649

Radix Representation

Decimal	6561648
Binary	11001000001111101110000 (23 bits)
Octal	0o31017560
Hexadecimal	0x641F70

Divisor Catalog (60 of 100)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 83 108 122 144 162 166 183 216 244 249 324 332 366 432 488 498 549 648 664 732 747 976 996 1,098 1,296 1,328 1,464 1,494 1,647 1,992 2,196 2,241 2,928 2,988 3,294 3,984 4,392 4,482 4,941 5,063 5,976 6,588

Collatz Trajectory (271 steps to reach 1)

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

6,561,648 3,280,824 1,640,412 820,206 410,103 1,230,310 615,155 1,845,466 922,733 2,768,200 1,384,100 692,050 346,025 1,038,076 519,038 259,519 778,558 389,279 1,167,838 583,919 1,751,758 875,879 2,627,638 1,313,819 3,941,458 1,970,729 5,912,188 2,956,094 1,478,047 4,434,142 2,217,071 6,651,214 3,325,607 9,976,822 4,988,411 14,965,234 7,482,617 22,447,852 11,223,926 5,611,963 16,835,890 8,417,945 25,253,836 12,626,918 6,313,459 18,940,378 9,470,189 28,410,568 14,205,284 7,102,642 3,551,321 10,653,964 5,326,982 2,663,491 7,990,474 3,995,237 11,985,712 5,992,856 2,996,428 1,498,214

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