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Atlas › Integer Profiles › Node 2,236,780

2,236,780

22 × 5 × 7 × 13 × 1229
Abundant Even Composite

2,236,780 factors as 2^2 × 5 × 7 × 13 × 1229. Its 48 positive divisors give a proper-divisor sum of 3,549,140, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 1229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,785,920
Proper Divisor Sum 3,549,140
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2236771 ← → #2236781

Radix Representation

Decimal 2236780
Binary 1000100010000101101100 (22 bits)
Octal 0o10420554
Hexadecimal 0x22216C

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1,229 1,820 2,458 4,916 6,145 8,603 12,290 15,977 17,206 24,580 31,954 34,412 43,015 63,908 79,885 86,030 111,839 159,770 172,060 223,678 319,540 447,356 559,195 1,118,390 2,236,780

Collatz Trajectory (117 steps to reach 1)

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

2,236,780 1,118,390 559,195 1,677,586 838,793 2,516,380 1,258,190 629,095 1,887,286 943,643 2,830,930 1,415,465 4,246,396 2,123,198 1,061,599 3,184,798 1,592,399 4,777,198 2,388,599 7,165,798 3,582,899 10,748,698 5,374,349 16,123,048 8,061,524 4,030,762 2,015,381 6,046,144 3,023,072 1,511,536 755,768 377,884 188,942 94,471 283,414 141,707 425,122 212,561 637,684 318,842 159,421 478,264 239,132 119,566 59,783 179,350 89,675 269,026 134,513 403,540 201,770 100,885 302,656 151,328 75,664 37,832 18,916 9,458 4,729 14,188

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