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13,630,740

22 × 3 × 5 × 157 × 1447
Abundant Even Composite

13,630,740 factors as 2^2 × 3 × 5 × 157 × 1447. Its 48 positive divisors give a proper-divisor sum of 24,804,972, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 157 × 1447
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,435,712
Proper Divisor Sum 24,804,972
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #13630709 ← → #13630741

Radix Representation

Decimal 13630740
Binary 110011111111110100010100 (24 bits)
Octal 0o63776424
Hexadecimal 0xCFFD14

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1,447 1,570 1,884 2,355 2,894 3,140 4,341 4,710 5,788 7,235 8,682 9,420 14,470 17,364 21,705 28,940 43,410 86,820 227,179 454,358 681,537 908,716 1,135,895 1,363,074 2,271,790 2,726,148 3,407,685 4,543,580 6,815,370 13,630,740

Collatz Trajectory (192 steps to reach 1)

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

13,630,740 6,815,370 3,407,685 10,223,056 5,111,528 2,555,764 1,277,882 638,941 1,916,824 958,412 479,206 239,603 718,810 359,405 1,078,216 539,108 269,554 134,777 404,332 202,166 101,083 303,250 151,625 454,876 227,438 113,719 341,158 170,579 511,738 255,869 767,608 383,804 191,902 95,951 287,854 143,927 431,782 215,891 647,674 323,837 971,512 485,756 242,878 121,439 364,318 182,159 546,478 273,239 819,718 409,859 1,229,578 614,789 1,844,368 922,184 461,092 230,546 115,273 345,820 172,910 86,455

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