λ
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Atlas › Integer Profiles › Node 6,556,495

6,556,495

5 × 11 × 23 × 71 × 73
Deficient Odd Composite

6,556,495 factors as 5 × 11 × 23 × 71 × 73. Its 32 positive divisors give a proper-divisor sum of 2,650,289, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 71 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,206,784
Proper Divisor Sum 2,650,289
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6556489 ← → #6556507

Radix Representation

Decimal 6556495
Binary 11001000000101101001111 (23 bits)
Octal 0o31005517
Hexadecimal 0x640B4F

Divisor Catalog (32)

1 5 11 23 55 71 73 115 253 355 365 781 803 1,265 1,633 1,679 3,905 4,015 5,183 8,165 8,395 17,963 18,469 25,915 57,013 89,815 92,345 119,209 285,065 596,045 1,311,299 6,556,495

Collatz Trajectory (147 steps to reach 1)

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

6,556,495 19,669,486 9,834,743 29,504,230 14,752,115 44,256,346 22,128,173 66,384,520 33,192,260 16,596,130 8,298,065 24,894,196 12,447,098 6,223,549 18,670,648 9,335,324 4,667,662 2,333,831 7,001,494 3,500,747 10,502,242 5,251,121 15,753,364 7,876,682 3,938,341 11,815,024 5,907,512 2,953,756 1,476,878 738,439 2,215,318 1,107,659 3,322,978 1,661,489 4,984,468 2,492,234 1,246,117 3,738,352 1,869,176 934,588 467,294 233,647 700,942 350,471 1,051,414 525,707 1,577,122 788,561 2,365,684 1,182,842 591,421 1,774,264 887,132 443,566 221,783 665,350 332,675 998,026 499,013 1,497,040

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