λ
Math Directory

9,474,475

52 × 97 × 3907
Deficient Odd Composite

9,474,475 factors as 5^2 × 97 × 3907. Its 12 positive divisors give a proper-divisor sum of 2,398,029, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 5^2 × 97 × 3907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,872,504
Proper Divisor Sum 2,398,029
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9474469 ← → #9474481

Radix Representation

Decimal 9474475
Binary 100100001001000110101011 (24 bits)
Octal 0o44110653
Hexadecimal 0x9091AB

Divisor Catalog (12)

1 5 25 97 485 2,425 3,907 19,535 97,675 378,979 1,894,895 9,474,475

Collatz Trajectory (150 steps to reach 1)

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

9,474,475 28,423,426 14,211,713 42,635,140 21,317,570 10,658,785 31,976,356 15,988,178 7,994,089 23,982,268 11,991,134 5,995,567 17,986,702 8,993,351 26,980,054 13,490,027 40,470,082 20,235,041 60,705,124 30,352,562 15,176,281 45,528,844 22,764,422 11,382,211 34,146,634 17,073,317 51,219,952 25,609,976 12,804,988 6,402,494 3,201,247 9,603,742 4,801,871 14,405,614 7,202,807 21,608,422 10,804,211 32,412,634 16,206,317 48,618,952 24,309,476 12,154,738 6,077,369 18,232,108 9,116,054 4,558,027 13,674,082 6,837,041 20,511,124 10,255,562 5,127,781 15,383,344 7,691,672 3,845,836 1,922,918 961,459 2,884,378 1,442,189 4,326,568 2,163,284

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