λ
Matchaa Zalai

2,876,256

25 × 33 × 3329
Abundant Even Composite

2,876,256 factors as 2^5 × 3^3 × 3329. Its 48 positive divisors give a proper-divisor sum of 5,515,344, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 3329
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,391,600
Proper Divisor Sum 5,515,344
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2876233 ← → #2876261

Radix Representation

Decimal 2876256
Binary 1010111110001101100000 (22 bits)
Octal 0o12761540
Hexadecimal 0x2BE360

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3,329 6,658 9,987 13,316 19,974 26,632 29,961 39,948 53,264 59,922 79,896 89,883 106,528 119,844 159,792 179,766 239,688 319,584 359,532 479,376 719,064 958,752 1,438,128 2,876,256

Collatz Trajectory (213 steps to reach 1)

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

2,876,256 1,438,128 719,064 359,532 179,766 89,883 269,650 134,825 404,476 202,238 101,119 303,358 151,679 455,038 227,519 682,558 341,279 1,023,838 511,919 1,535,758 767,879 2,303,638 1,151,819 3,455,458 1,727,729 5,183,188 2,591,594 1,295,797 3,887,392 1,943,696 971,848 485,924 242,962 121,481 364,444 182,222 91,111 273,334 136,667 410,002 205,001 615,004 307,502 153,751 461,254 230,627 691,882 345,941 1,037,824 518,912 259,456 129,728 64,864 32,432 16,216 8,108 4,054 2,027 6,082 3,041

More profiles

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