λ
Ratio Atlas

4,236,976

24 × 264811
Deficient Even Composite

4,236,976 factors as 2^4 × 264811. Its 10 positive divisors give a proper-divisor sum of 3,972,196, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^4 × 264811
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 8,209,172
Proper Divisor Sum 3,972,196
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4236971 ← → #4236983

Radix Representation

Decimal 4236976
Binary 10000001010011010110000 (23 bits)
Octal 0o20123260
Hexadecimal 0x40A6B0

Divisor Catalog (10)

1 2 4 8 16 264,811 529,622 1,059,244 2,118,488 4,236,976

Collatz Trajectory (242 steps to reach 1)

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

4,236,976 2,118,488 1,059,244 529,622 264,811 794,434 397,217 1,191,652 595,826 297,913 893,740 446,870 223,435 670,306 335,153 1,005,460 502,730 251,365 754,096 377,048 188,524 94,262 47,131 141,394 70,697 212,092 106,046 53,023 159,070 79,535 238,606 119,303 357,910 178,955 536,866 268,433 805,300 402,650 201,325 603,976 301,988 150,994 75,497 226,492 113,246 56,623 169,870 84,935 254,806 127,403 382,210 191,105 573,316 286,658 143,329 429,988 214,994 107,497 322,492 161,246

More profiles

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