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Atlas › Integer Profiles › Node 6,444,280

6,444,280

23 × 5 × 31 × 5197
Abundant Even Composite

6,444,280 factors as 2^3 × 5 × 31 × 5197. Its 32 positive divisors give a proper-divisor sum of 8,525,960, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 5197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,970,240
Proper Divisor Sum 8,525,960
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6444271 ← → #6444299

Radix Representation

Decimal 6444280
Binary 11000100101010011111000 (23 bits)
Octal 0o30452370
Hexadecimal 0x6254F8

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 5,197 10,394 20,788 25,985 41,576 51,970 103,940 161,107 207,880 322,214 644,428 805,535 1,288,856 1,611,070 3,222,140 6,444,280

Collatz Trajectory (209 steps to reach 1)

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

6,444,280 3,222,140 1,611,070 805,535 2,416,606 1,208,303 3,624,910 1,812,455 5,437,366 2,718,683 8,156,050 4,078,025 12,234,076 6,117,038 3,058,519 9,175,558 4,587,779 13,763,338 6,881,669 20,645,008 10,322,504 5,161,252 2,580,626 1,290,313 3,870,940 1,935,470 967,735 2,903,206 1,451,603 4,354,810 2,177,405 6,532,216 3,266,108 1,633,054 816,527 2,449,582 1,224,791 3,674,374 1,837,187 5,511,562 2,755,781 8,267,344 4,133,672 2,066,836 1,033,418 516,709 1,550,128 775,064 387,532 193,766 96,883 290,650 145,325 435,976 217,988 108,994 54,497 163,492 81,746 40,873

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