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Atlas › Integer Profiles › Node 2,962,856

2,962,856

23 × 13 × 31 × 919
Abundant Even Composite

2,962,856 factors as 2^3 × 13 × 31 × 919. Its 32 positive divisors give a proper-divisor sum of 3,219,544, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,182,400
Proper Divisor Sum 3,219,544
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2962853 ← → #2962871

Radix Representation

Decimal 2962856
Binary 1011010011010110101000 (22 bits)
Octal 0o13232650
Hexadecimal 0x2D35A8

Divisor Catalog (32)

1 2 4 8 13 26 31 52 62 104 124 248 403 806 919 1,612 1,838 3,224 3,676 7,352 11,947 23,894 28,489 47,788 56,978 95,576 113,956 227,912 370,357 740,714 1,481,428 2,962,856

Collatz Trajectory (151 steps to reach 1)

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

2,962,856 1,481,428 740,714 370,357 1,111,072 555,536 277,768 138,884 69,442 34,721 104,164 52,082 26,041 78,124 39,062 19,531 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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