13,763,568

2⁴ × 3 × 7 × 13 × 23 × 137

13,763,568 factors as 2^4 × 3 × 7 × 13 × 23 × 137. Its 160 positive divisors give a proper-divisor sum of 32,233,488, so this integer is abundant. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 23 × 137

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 45,997,056

Proper Divisor Sum 32,233,488

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #13763551 ← → #13763611

Radix Representation

Decimal	13763568
Binary	110100100000001111110000 (24 bits)
Octal	0o64401760
Hexadecimal	0xD203F0

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 137 138 156 161 168 182 184 208 273 274 276 299 312 322 336 364 368 411 483 546 548 552 598 624 644 728 822 897 959 966 1,092

Collatz Trajectory (236 steps to reach 1)

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

13,763,568 6,881,784 3,440,892 1,720,446 860,223 2,580,670 1,290,335 3,871,006 1,935,503 5,806,510 2,903,255 8,709,766 4,354,883 13,064,650 6,532,325 19,596,976 9,798,488 4,899,244 2,449,622 1,224,811 3,674,434 1,837,217 5,511,652 2,755,826 1,377,913 4,133,740 2,066,870 1,033,435 3,100,306 1,550,153 4,650,460 2,325,230 1,162,615 3,487,846 1,743,923 5,231,770 2,615,885 7,847,656 3,923,828 1,961,914 980,957 2,942,872 1,471,436 735,718 367,859 1,103,578 551,789 1,655,368 827,684 413,842 206,921 620,764 310,382 155,191 465,574 232,787 698,362 349,181 1,047,544 523,772

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