λ
Math Directory

2,352,298

2 × 13 × 90473
Deficient Even Composite

2,352,298 factors as 2 × 13 × 90473. Its 8 positive divisors give a proper-divisor sum of 1,447,610, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 13 × 90473
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,799,908
Proper Divisor Sum 1,447,610
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2352289 ← → #2352323

Radix Representation

Decimal 2352298
Binary 1000111110010010101010 (22 bits)
Octal 0o10762252
Hexadecimal 0x23E4AA

Divisor Catalog (8)

1 2 13 26 90,473 180,946 1,176,149 2,352,298

Collatz Trajectory (161 steps to reach 1)

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

2,352,298 1,176,149 3,528,448 1,764,224 882,112 441,056 220,528 110,264 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 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

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