13,318,306

2 × 59² × 1913

13,318,306 factors as 2 × 59^2 × 1913. Its 12 positive divisors give a proper-divisor sum of 7,014,116, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 59^2 × 1913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,332,422

Proper Divisor Sum 7,014,116

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13318301 ← → #13318307

Radix Representation

Decimal	13318306
Binary	110010110011100010100010 (24 bits)
Octal	0o62634242
Hexadecimal	0xCB38A2

Divisor Catalog (12)

1 2 59 118 1,913 3,481 3,826 6,962 112,867 225,734 6,659,153 13,318,306

Collatz Trajectory (140 steps to reach 1)

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

13,318,306 6,659,153 19,977,460 9,988,730 4,994,365 14,983,096 7,491,548 3,745,774 1,872,887 5,618,662 2,809,331 8,427,994 4,213,997 12,641,992 6,320,996 3,160,498 1,580,249 4,740,748 2,370,374 1,185,187 3,555,562 1,777,781 5,333,344 2,666,672 1,333,336 666,668 333,334 166,667 500,002 250,001 750,004 375,002 187,501 562,504 281,252 140,626 70,313 210,940 105,470 52,735 158,206 79,103 237,310 118,655 355,966 177,983 533,950 266,975 800,926 400,463 1,201,390 600,695 1,802,086 901,043 2,703,130 1,351,565 4,054,696 2,027,348 1,013,674 506,837

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