λ
Sigma Notebook

4,472,985

3 × 5 × 11 × 27109
Deficient Odd Composite

4,472,985 is odd and not a perfect square. Its factorization is 3 × 5 × 11 × 27109 and its 16 divisors sum to 7,807,680.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 27109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,807,680
Proper Divisor Sum 3,334,695
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4472957 ← → #4473011

Radix Representation

Decimal 4472985
Binary 10001000100000010011001 (23 bits)
Octal 0o21040231
Hexadecimal 0x444099

Divisor Catalog (16)

1 3 5 11 15 33 55 165 27,109 81,327 135,545 298,199 406,635 894,597 1,490,995 4,472,985

Collatz Trajectory (149 steps to reach 1)

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

4,472,985 13,418,956 6,709,478 3,354,739 10,064,218 5,032,109 15,096,328 7,548,164 3,774,082 1,887,041 5,661,124 2,830,562 1,415,281 4,245,844 2,122,922 1,061,461 3,184,384 1,592,192 796,096 398,048 199,024 99,512 49,756 24,878 12,439 37,318 18,659 55,978 27,989 83,968 41,984 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

More profiles

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