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Atlas › Integer Profiles › Node 2,986,256

2,986,256

24 × 72 × 13 × 293
Abundant Even Composite

2,986,256 factors as 2^4 × 7^2 × 13 × 293. Its 60 positive divisors give a proper-divisor sum of 4,286,716, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 13 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 7,272,972
Proper Divisor Sum 4,286,716
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2986253 ← → #2986259

Radix Representation

Decimal 2986256
Binary 1011011001000100010000 (22 bits)
Octal 0o13310420
Hexadecimal 0x2D9110

Divisor Catalog (60)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 293 364 392 586 637 728 784 1,172 1,274 1,456 2,051 2,344 2,548 3,809 4,102 4,688 5,096 7,618 8,204 10,192 14,357 15,236 16,408 26,663 28,714 30,472 32,816 53,326 57,428 60,944 106,652 114,856 186,641 213,304 229,712 373,282 426,608 746,564 1,493,128 2,986,256

Collatz Trajectory (89 steps to reach 1)

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

2,986,256 1,493,128 746,564 373,282 186,641 559,924 279,962 139,981 419,944 209,972 104,986 52,493 157,480 78,740 39,370 19,685 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89

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