λ
Integer Codex

4,991,192

23 × 197 × 3167
Deficient Even Composite

For 4,991,192, the 16 positive divisors have a total of 9,408,960. Removing 4,991,192 leaves 4,417,768, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 197 × 3167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,408,960
Proper Divisor Sum 4,417,768
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4991171 ← → #4991201

Radix Representation

Decimal 4991192
Binary 10011000010100011011000 (23 bits)
Octal 0o23024330
Hexadecimal 0x4C28D8

Divisor Catalog (16)

1 2 4 8 197 394 788 1,576 3,167 6,334 12,668 25,336 623,899 1,247,798 2,495,596 4,991,192

Collatz Trajectory (281 steps to reach 1)

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

4,991,192 2,495,596 1,247,798 623,899 1,871,698 935,849 2,807,548 1,403,774 701,887 2,105,662 1,052,831 3,158,494 1,579,247 4,737,742 2,368,871 7,106,614 3,553,307 10,659,922 5,329,961 15,989,884 7,994,942 3,997,471 11,992,414 5,996,207 17,988,622 8,994,311 26,982,934 13,491,467 40,474,402 20,237,201 60,711,604 30,355,802 15,177,901 45,533,704 22,766,852 11,383,426 5,691,713 17,075,140 8,537,570 4,268,785 12,806,356 6,403,178 3,201,589 9,604,768 4,802,384 2,401,192 1,200,596 600,298 300,149 900,448 450,224 225,112 112,556 56,278 28,139 84,418 42,209 126,628 63,314 31,657

More profiles

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