λ
Integer Codex

4,966,096

24 × 211 × 1471
Deficient Even Composite

For 4,966,096, the 20 positive divisors have a total of 9,673,984. Removing 4,966,096 leaves 4,707,888, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 211 × 1471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,673,984
Proper Divisor Sum 4,707,888
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4966061 ← → #4966099

Radix Representation

Decimal 4966096
Binary 10010111100011011010000 (23 bits)
Octal 0o22743320
Hexadecimal 0x4BC6D0

Divisor Catalog (20)

1 2 4 8 16 211 422 844 1,471 1,688 2,942 3,376 5,884 11,768 23,536 310,381 620,762 1,241,524 2,483,048 4,966,096

Collatz Trajectory (188 steps to reach 1)

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

4,966,096 2,483,048 1,241,524 620,762 310,381 931,144 465,572 232,786 116,393 349,180 174,590 87,295 261,886 130,943 392,830 196,415 589,246 294,623 883,870 441,935 1,325,806 662,903 1,988,710 994,355 2,983,066 1,491,533 4,474,600 2,237,300 1,118,650 559,325 1,677,976 838,988 419,494 209,747 629,242 314,621 943,864 471,932 235,966 117,983 353,950 176,975 530,926 265,463 796,390 398,195 1,194,586 597,293 1,791,880 895,940 447,970 223,985 671,956 335,978 167,989 503,968 251,984 125,992 62,996 31,498

More profiles

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