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Atlas › Integer Profiles › Node 2,338,048

2,338,048

28 × 9133
Deficient Even Composite

2,338,048 factors as 2^8 × 9133. Its 18 positive divisors give a proper-divisor sum of 2,329,426, so this integer is deficient. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^8 × 9133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,667,474
Proper Divisor Sum 2,329,426
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2338043 ← → #2338079

Radix Representation

Decimal 2338048
Binary 1000111010110100000000 (22 bits)
Octal 0o10726400
Hexadecimal 0x23AD00

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 9,133 18,266 36,532 73,064 146,128 292,256 584,512 1,169,024 2,338,048

Collatz Trajectory (68 steps to reach 1)

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

2,338,048 1,169,024 584,512 292,256 146,128 73,064 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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