λ
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Atlas › Integer Profiles › Node 15,287,290

15,287,290

2 × 5 × 37 × 79 × 523
Deficient Even Composite

15,287,290 factors as 2 × 5 × 37 × 79 × 523. Its 32 positive divisors give a proper-divisor sum of 13,385,990, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 79 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,673,280
Proper Divisor Sum 13,385,990
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15287287 ← → #15287299

Radix Representation

Decimal 15287290
Binary 111010010100001111111010 (24 bits)
Octal 0o72241772
Hexadecimal 0xE943FA

Divisor Catalog (32)

1 2 5 10 37 74 79 158 185 370 395 523 790 1,046 2,615 2,923 5,230 5,846 14,615 19,351 29,230 38,702 41,317 82,634 96,755 193,510 206,585 413,170 1,528,729 3,057,458 7,643,645 15,287,290

Collatz Trajectory (125 steps to reach 1)

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

15,287,290 7,643,645 22,930,936 11,465,468 5,732,734 2,866,367 8,599,102 4,299,551 12,898,654 6,449,327 19,347,982 9,673,991 29,021,974 14,510,987 43,532,962 21,766,481 65,299,444 32,649,722 16,324,861 48,974,584 24,487,292 12,243,646 6,121,823 18,365,470 9,182,735 27,548,206 13,774,103 41,322,310 20,661,155 61,983,466 30,991,733 92,975,200 46,487,600 23,243,800 11,621,900 5,810,950 2,905,475 8,716,426 4,358,213 13,074,640 6,537,320 3,268,660 1,634,330 817,165 2,451,496 1,225,748 612,874 306,437 919,312 459,656 229,828 114,914 57,457 172,372 86,186 43,093 129,280 64,640 32,320 16,160

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