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Atlas › Integer Profiles › Node 6,394,450

6,394,450

2 × 52 × 19 × 53 × 127
Abundant Even Composite

6,394,450 factors as 2 × 5^2 × 19 × 53 × 127. Its 48 positive divisors give a proper-divisor sum of 6,461,870, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 19 × 53 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,856,320
Proper Divisor Sum 6,461,870
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6394441 ← → #6394457

Radix Representation

Decimal 6394450
Binary 11000011001001001010010 (23 bits)
Octal 0o30311122
Hexadecimal 0x619252

Divisor Catalog (48)

1 2 5 10 19 25 38 50 53 95 106 127 190 254 265 475 530 635 950 1,007 1,270 1,325 2,014 2,413 2,650 3,175 4,826 5,035 6,350 6,731 10,070 12,065 13,462 24,130 25,175 33,655 50,350 60,325 67,310 120,650 127,889 168,275 255,778 336,550 639,445 1,278,890 3,197,225 6,394,450

Collatz Trajectory (121 steps to reach 1)

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

6,394,450 3,197,225 9,591,676 4,795,838 2,397,919 7,193,758 3,596,879 10,790,638 5,395,319 16,185,958 8,092,979 24,278,938 12,139,469 36,418,408 18,209,204 9,104,602 4,552,301 13,656,904 6,828,452 3,414,226 1,707,113 5,121,340 2,560,670 1,280,335 3,841,006 1,920,503 5,761,510 2,880,755 8,642,266 4,321,133 12,963,400 6,481,700 3,240,850 1,620,425 4,861,276 2,430,638 1,215,319 3,645,958 1,822,979 5,468,938 2,734,469 8,203,408 4,101,704 2,050,852 1,025,426 512,713 1,538,140 769,070 384,535 1,153,606 576,803 1,730,410 865,205 2,595,616 1,297,808 648,904 324,452 162,226 81,113 243,340

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