λ
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Atlas › Integer Profiles › Node 9,441,454

9,441,454

2 × 11 × 23 × 47 × 397
Deficient Even Composite

9,441,454 factors as 2 × 11 × 23 × 47 × 397. Its 32 positive divisors give a proper-divisor sum of 7,064,402, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 47 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,505,856
Proper Divisor Sum 7,064,402
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9441433 ← → #9441457

Radix Representation

Decimal 9441454
Binary 100100000001000010101110 (24 bits)
Octal 0o44010256
Hexadecimal 0x9010AE

Divisor Catalog (32)

1 2 11 22 23 46 47 94 253 397 506 517 794 1,034 1,081 2,162 4,367 8,734 9,131 11,891 18,262 18,659 23,782 37,318 100,441 200,882 205,249 410,498 429,157 858,314 4,720,727 9,441,454

Collatz Trajectory (194 steps to reach 1)

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

9,441,454 4,720,727 14,162,182 7,081,091 21,243,274 10,621,637 31,864,912 15,932,456 7,966,228 3,983,114 1,991,557 5,974,672 2,987,336 1,493,668 746,834 373,417 1,120,252 560,126 280,063 840,190 420,095 1,260,286 630,143 1,890,430 945,215 2,835,646 1,417,823 4,253,470 2,126,735 6,380,206 3,190,103 9,570,310 4,785,155 14,355,466 7,177,733 21,533,200 10,766,600 5,383,300 2,691,650 1,345,825 4,037,476 2,018,738 1,009,369 3,028,108 1,514,054 757,027 2,271,082 1,135,541 3,406,624 1,703,312 851,656 425,828 212,914 106,457 319,372 159,686 79,843 239,530 119,765 359,296

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