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Atlas › Integer Profiles › Node 2,998,784

2,998,784

29 × 5857
Deficient Even Composite

2,998,784 factors as 2^9 × 5857. Its 20 positive divisors give a proper-divisor sum of 2,993,950, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^9 × 5857
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,992,734
Proper Divisor Sum 2,993,950
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #2998771 ← → #2998811

Radix Representation

Decimal 2998784
Binary 1011011100001000000000 (22 bits)
Octal 0o13341000
Hexadecimal 0x2DC200

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 5,857 11,714 23,428 46,856 93,712 187,424 374,848 749,696 1,499,392 2,998,784

Collatz Trajectory (151 steps to reach 1)

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

2,998,784 1,499,392 749,696 374,848 187,424 93,712 46,856 23,428 11,714 5,857 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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