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Atlas › Integer Profiles › Node 4,356,909

4,356,909

34 × 192 × 149
Deficient Odd Composite

4,356,909 factors as 3^4 × 19^2 × 149. Its 30 positive divisors give a proper-divisor sum of 2,558,241, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^4 × 19^2 × 149
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 6,915,150
Proper Divisor Sum 2,558,241
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4356899 ← → #4356923

Radix Representation

Decimal 4356909
Binary 10000100111101100101101 (23 bits)
Octal 0o20475455
Hexadecimal 0x427B2D

Divisor Catalog (30)

1 3 9 19 27 57 81 149 171 361 447 513 1,083 1,341 1,539 2,831 3,249 4,023 8,493 9,747 12,069 25,479 29,241 53,789 76,437 161,367 229,311 484,101 1,452,303 4,356,909

Collatz Trajectory (92 steps to reach 1)

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

4,356,909 13,070,728 6,535,364 3,267,682 1,633,841 4,901,524 2,450,762 1,225,381 3,676,144 1,838,072 919,036 459,518 229,759 689,278 344,639 1,033,918 516,959 1,550,878 775,439 2,326,318 1,163,159 3,489,478 1,744,739 5,234,218 2,617,109 7,851,328 3,925,664 1,962,832 981,416 490,708 245,354 122,677 368,032 184,016 92,008 46,004 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769

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