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Atlas › Integer Profiles › Node 8,429,032

8,429,032

23 × 43 × 107 × 229
Deficient Even Composite

8,429,032 factors as 2^3 × 43 × 107 × 229. Its 32 positive divisors give a proper-divisor sum of 7,965,368, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 107 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,394,400
Proper Divisor Sum 7,965,368
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8429011 ← → #8429051

Radix Representation

Decimal 8429032
Binary 100000001001110111101000 (24 bits)
Octal 0o40116750
Hexadecimal 0x809DE8

Divisor Catalog (32)

1 2 4 8 43 86 107 172 214 229 344 428 458 856 916 1,832 4,601 9,202 9,847 18,404 19,694 24,503 36,808 39,388 49,006 78,776 98,012 196,024 1,053,629 2,107,258 4,214,516 8,429,032

Collatz Trajectory (274 steps to reach 1)

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

8,429,032 4,214,516 2,107,258 1,053,629 3,160,888 1,580,444 790,222 395,111 1,185,334 592,667 1,778,002 889,001 2,667,004 1,333,502 666,751 2,000,254 1,000,127 3,000,382 1,500,191 4,500,574 2,250,287 6,750,862 3,375,431 10,126,294 5,063,147 15,189,442 7,594,721 22,784,164 11,392,082 5,696,041 17,088,124 8,544,062 4,272,031 12,816,094 6,408,047 19,224,142 9,612,071 28,836,214 14,418,107 43,254,322 21,627,161 64,881,484 32,440,742 16,220,371 48,661,114 24,330,557 72,991,672 36,495,836 18,247,918 9,123,959 27,371,878 13,685,939 41,057,818 20,528,909 61,586,728 30,793,364 15,396,682 7,698,341 23,095,024 11,547,512

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