13,743,080

2³ × 5 × 13² × 19 × 107

13,743,080 factors as 2^3 × 5 × 13^2 × 19 × 107. Its 96 positive divisors give a proper-divisor sum of 21,832,120, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13^2 × 19 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 35,575,200

Proper Divisor Sum 21,832,120

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13743031 ← → #13743091

Radix Representation

Decimal	13743080
Binary	110100011011001111101000 (24 bits)
Octal	0o64331750
Hexadecimal	0xD1B3E8

Divisor Catalog (60 of 96)

1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 107 130 152 169 190 214 247 260 338 380 428 494 520 535 676 760 845 856 988 1,070 1,235 1,352 1,391 1,690 1,976 2,033 2,140 2,470 2,782 3,211 3,380 4,066 4,280 4,940 5,564 6,422 6,760 6,955 8,132 9,880 10,165 11,128 12,844

Collatz Trajectory (223 steps to reach 1)

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

13,743,080 6,871,540 3,435,770 1,717,885 5,153,656 2,576,828 1,288,414 644,207 1,932,622 966,311 2,898,934 1,449,467 4,348,402 2,174,201 6,522,604 3,261,302 1,630,651 4,891,954 2,445,977 7,337,932 3,668,966 1,834,483 5,503,450 2,751,725 8,255,176 4,127,588 2,063,794 1,031,897 3,095,692 1,547,846 773,923 2,321,770 1,160,885 3,482,656 1,741,328 870,664 435,332 217,666 108,833 326,500 163,250 81,625 244,876 122,438 61,219 183,658 91,829 275,488 137,744 68,872 34,436 17,218 8,609 25,828 12,914 6,457 19,372 9,686 4,843 14,530

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