λ
Sigma Notebook

4,933,875

3 × 53 × 59 × 223
Deficient Odd Composite

4,933,875 is odd and not a perfect square. Its factorization is 3 × 5^3 × 59 × 223 and its 32 divisors sum to 8,386,560.

Prime Factor Structure

Factorization String 3 × 5^3 × 59 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,386,560
Proper Divisor Sum 3,452,685
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4933871 ← → #4933889

Radix Representation

Decimal 4933875
Binary 10010110100100011110011 (23 bits)
Octal 0o22644363
Hexadecimal 0x4B48F3

Divisor Catalog (32)

1 3 5 15 25 59 75 125 177 223 295 375 669 885 1,115 1,475 3,345 4,425 5,575 7,375 13,157 16,725 22,125 27,875 39,471 65,785 83,625 197,355 328,925 986,775 1,644,625 4,933,875

Collatz Trajectory (312 steps to reach 1)

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

4,933,875 14,801,626 7,400,813 22,202,440 11,101,220 5,550,610 2,775,305 8,325,916 4,162,958 2,081,479 6,244,438 3,122,219 9,366,658 4,683,329 14,049,988 7,024,994 3,512,497 10,537,492 5,268,746 2,634,373 7,903,120 3,951,560 1,975,780 987,890 493,945 1,481,836 740,918 370,459 1,111,378 555,689 1,667,068 833,534 416,767 1,250,302 625,151 1,875,454 937,727 2,813,182 1,406,591 4,219,774 2,109,887 6,329,662 3,164,831 9,494,494 4,747,247 14,241,742 7,120,871 21,362,614 10,681,307 32,043,922 16,021,961 48,065,884 24,032,942 12,016,471 36,049,414 18,024,707 54,074,122 27,037,061 81,111,184 40,555,592

More profiles

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