λ
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Atlas › Integer Profiles › Node 9,041,408

9,041,408

29 × 17659
Deficient Even Composite

9,041,408 factors as 2^9 × 17659. Its 20 positive divisors give a proper-divisor sum of 9,024,772, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^9 × 17659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,066,180
Proper Divisor Sum 9,024,772
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9041401 ← → #9041453

Radix Representation

Decimal 9041408
Binary 100010011111011000000000 (24 bits)
Octal 0o42373000
Hexadecimal 0x89F600

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 17,659 35,318 70,636 141,272 282,544 565,088 1,130,176 2,260,352 4,520,704 9,041,408

Collatz Trajectory (137 steps to reach 1)

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

9,041,408 4,520,704 2,260,352 1,130,176 565,088 282,544 141,272 70,636 35,318 17,659 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358

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