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Atlas › Integer Profiles › Node 7,979,601

7,979,601

3 × 72 × 19 × 2857
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 19 × 2857
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,032,480
Proper Divisor Sum 5,052,879
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7979599 ← → #7979623

Radix Representation

Decimal 7979601
Binary 11110011100001001010001 (23 bits)
Octal 0o36341121
Hexadecimal 0x79C251

Divisor Catalog (24)

1 3 7 19 21 49 57 133 147 399 931 2,793 2,857 8,571 19,999 54,283 59,997 139,993 162,849 379,981 419,979 1,139,943 2,659,867 7,979,601

Collatz Trajectory (142 steps to reach 1)

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

7,979,601 23,938,804 11,969,402 5,984,701 17,954,104 8,977,052 4,488,526 2,244,263 6,732,790 3,366,395 10,099,186 5,049,593 15,148,780 7,574,390 3,787,195 11,361,586 5,680,793 17,042,380 8,521,190 4,260,595 12,781,786 6,390,893 19,172,680 9,586,340 4,793,170 2,396,585 7,189,756 3,594,878 1,797,439 5,392,318 2,696,159 8,088,478 4,044,239 12,132,718 6,066,359 18,199,078 9,099,539 27,298,618 13,649,309 40,947,928 20,473,964 10,236,982 5,118,491 15,355,474 7,677,737 23,033,212 11,516,606 5,758,303 17,274,910 8,637,455 25,912,366 12,956,183 38,868,550 19,434,275 58,302,826 29,151,413 87,454,240 43,727,120 21,863,560 10,931,780

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