13,999,993

7 × 17 × 71 × 1657

13,999,993 factors as 7 × 17 × 71 × 1657. Its 16 positive divisors give a proper-divisor sum of 3,190,151, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 7 × 17 × 71 × 1657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,190,144

Proper Divisor Sum 3,190,151

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #13999981 ← → #14000029

Radix Representation

Decimal	13999993
Binary	110101011001111101111001 (24 bits)
Octal	0o65317571
Hexadecimal	0xD59F79

Divisor Catalog (16)

1 7 17 71 119 497 1,207 1,657 8,449 11,599 28,169 117,647 197,183 823,529 1,999,999 13,999,993

Collatz Trajectory (153 steps to reach 1)

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

13,999,993 41,999,980 20,999,990 10,499,995 31,499,986 15,749,993 47,249,980 23,624,990 11,812,495 35,437,486 17,718,743 53,156,230 26,578,115 79,734,346 39,867,173 119,601,520 59,800,760 29,900,380 14,950,190 7,475,095 22,425,286 11,212,643 33,637,930 16,818,965 50,456,896 25,228,448 12,614,224 6,307,112 3,153,556 1,576,778 788,389 2,365,168 1,182,584 591,292 295,646 147,823 443,470 221,735 665,206 332,603 997,810 498,905 1,496,716 748,358 374,179 1,122,538 561,269 1,683,808 841,904 420,952 210,476 105,238 52,619 157,858 78,929 236,788 118,394 59,197 177,592 88,796

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