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Atlas › Integer Profiles › Node 26,323,472

26,323,472

24 × 7 × 97 × 2423
Abundant Even Composite

26,323,472 factors as 2^4 × 7 × 97 × 2423. Its 40 positive divisors give a proper-divisor sum of 32,589,424, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 97 × 2423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 58,912,896
Proper Divisor Sum 32,589,424
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #26323471 ← → #26323481

Radix Representation

Decimal 26323472
Binary 1100100011010101000010000 (25 bits)
Octal 0o144325020
Hexadecimal 0x191AA10

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1,358 1,552 2,423 2,716 4,846 5,432 9,692 10,864 16,961 19,384 33,922 38,768 67,844 135,688 235,031 271,376 470,062 940,124 1,645,217 1,880,248 3,290,434 3,760,496 6,580,868 13,161,736 26,323,472

Collatz Trajectory (180 steps to reach 1)

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

26,323,472 13,161,736 6,580,868 3,290,434 1,645,217 4,935,652 2,467,826 1,233,913 3,701,740 1,850,870 925,435 2,776,306 1,388,153 4,164,460 2,082,230 1,041,115 3,123,346 1,561,673 4,685,020 2,342,510 1,171,255 3,513,766 1,756,883 5,270,650 2,635,325 7,905,976 3,952,988 1,976,494 988,247 2,964,742 1,482,371 4,447,114 2,223,557 6,670,672 3,335,336 1,667,668 833,834 416,917 1,250,752 625,376 312,688 156,344 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773

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