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Atlas › Integer Profiles › Node 3,528,296

3,528,296

23 × 31 × 41 × 347
Deficient Even Composite

3,528,296 factors as 2^3 × 31 × 41 × 347. Its 32 positive divisors give a proper-divisor sum of 3,487,384, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 41 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,015,680
Proper Divisor Sum 3,487,384
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3528293 ← → #3528311

Radix Representation

Decimal 3528296
Binary 1101011101011001101000 (22 bits)
Octal 0o15353150
Hexadecimal 0x35D668

Divisor Catalog (32)

1 2 4 8 31 41 62 82 124 164 248 328 347 694 1,271 1,388 2,542 2,776 5,084 10,168 10,757 14,227 21,514 28,454 43,028 56,908 86,056 113,816 441,037 882,074 1,764,148 3,528,296

Collatz Trajectory (159 steps to reach 1)

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

3,528,296 1,764,148 882,074 441,037 1,323,112 661,556 330,778 165,389 496,168 248,084 124,042 62,021 186,064 93,032 46,516 23,258 11,629 34,888 17,444 8,722 4,361 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107

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