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Atlas › Integer Profiles › Node 6,473,192

6,473,192

23 × 11 × 17 × 4327
Abundant Even Composite

6,473,192 factors as 2^3 × 11 × 17 × 4327. Its 32 positive divisors give a proper-divisor sum of 7,549,528, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 4327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,022,720
Proper Divisor Sum 7,549,528
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6473149 ← → #6473197

Radix Representation

Decimal 6473192
Binary 11000101100010111101000 (23 bits)
Octal 0o30542750
Hexadecimal 0x62C5E8

Divisor Catalog (32)

1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1,496 4,327 8,654 17,308 34,616 47,597 73,559 95,194 147,118 190,388 294,236 380,776 588,472 809,149 1,618,298 3,236,596 6,473,192

Collatz Trajectory (240 steps to reach 1)

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

6,473,192 3,236,596 1,618,298 809,149 2,427,448 1,213,724 606,862 303,431 910,294 455,147 1,365,442 682,721 2,048,164 1,024,082 512,041 1,536,124 768,062 384,031 1,152,094 576,047 1,728,142 864,071 2,592,214 1,296,107 3,888,322 1,944,161 5,832,484 2,916,242 1,458,121 4,374,364 2,187,182 1,093,591 3,280,774 1,640,387 4,921,162 2,460,581 7,381,744 3,690,872 1,845,436 922,718 461,359 1,384,078 692,039 2,076,118 1,038,059 3,114,178 1,557,089 4,671,268 2,335,634 1,167,817 3,503,452 1,751,726 875,863 2,627,590 1,313,795 3,941,386 1,970,693 5,912,080 2,956,040 1,478,020

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