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Atlas › Integer Profiles › Node 26,315,835

26,315,835

3 × 5 × 7 × 132 × 1483
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13^2 × 1483
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 52,141,824
Proper Divisor Sum 25,825,989
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26315833 ← → #26315837

Radix Representation

Decimal 26315835
Binary 1100100011000110000111011 (25 bits)
Octal 0o144306073
Hexadecimal 0x1918C3B

Divisor Catalog (48)

1 3 5 7 13 15 21 35 39 65 91 105 169 195 273 455 507 845 1,183 1,365 1,483 2,535 3,549 4,449 5,915 7,415 10,381 17,745 19,279 22,245 31,143 51,905 57,837 96,395 134,953 155,715 250,627 289,185 404,859 674,765 751,881 1,253,135 1,754,389 2,024,295 3,759,405 5,263,167 8,771,945 26,315,835

Collatz Trajectory (224 steps to reach 1)

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

26,315,835 78,947,506 39,473,753 118,421,260 59,210,630 29,605,315 88,815,946 44,407,973 133,223,920 66,611,960 33,305,980 16,652,990 8,326,495 24,979,486 12,489,743 37,469,230 18,734,615 56,203,846 28,101,923 84,305,770 42,152,885 126,458,656 63,229,328 31,614,664 15,807,332 7,903,666 3,951,833 11,855,500 5,927,750 2,963,875 8,891,626 4,445,813 13,337,440 6,668,720 3,334,360 1,667,180 833,590 416,795 1,250,386 625,193 1,875,580 937,790 468,895 1,406,686 703,343 2,110,030 1,055,015 3,165,046 1,582,523 4,747,570 2,373,785 7,121,356 3,560,678 1,780,339 5,341,018 2,670,509 8,011,528 4,005,764 2,002,882 1,001,441

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