3,563,729

13 × 31 × 37 × 239

3,563,729 factors as 13 × 31 × 37 × 239. Its 16 positive divisors give a proper-divisor sum of 522,031, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 13 × 31 × 37 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,085,760

Proper Divisor Sum 522,031

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3563719 ← → #3563731

Radix Representation

Decimal	3563729
Binary	1101100110000011010001 (22 bits)
Octal	0o15460321
Hexadecimal	0x3660D1

Divisor Catalog (16)

1 13 31 37 239 403 481 1,147 3,107 7,409 8,843 14,911 96,317 114,959 274,133 3,563,729

Collatz Trajectory (97 steps to reach 1)

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

3,563,729 10,691,188 5,345,594 2,672,797 8,018,392 4,009,196 2,004,598 1,002,299 3,006,898 1,503,449 4,510,348 2,255,174 1,127,587 3,382,762 1,691,381 5,074,144 2,537,072 1,268,536 634,268 317,134 158,567 475,702 237,851 713,554 356,777 1,070,332 535,166 267,583 802,750 401,375 1,204,126 602,063 1,806,190 903,095 2,709,286 1,354,643 4,063,930 2,031,965 6,095,896 3,047,948 1,523,974 761,987 2,285,962 1,142,981 3,428,944 1,714,472 857,236 428,618 214,309 642,928 321,464 160,732 80,366 40,183 120,550 60,275 180,826 90,413 271,240 135,620

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