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Atlas › Integer Profiles › Node 26,316,344

26,316,344

23 × 43 × 113 × 677
Deficient Even Composite

26,316,344 factors as 2^3 × 43 × 113 × 677. Its 32 positive divisors give a proper-divisor sum of 24,696,376, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 113 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,012,720
Proper Divisor Sum 24,696,376
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #26316343 ← → #26316377

Radix Representation

Decimal 26316344
Binary 1100100011000111000111000 (25 bits)
Octal 0o144307070
Hexadecimal 0x1918E38

Divisor Catalog (32)

1 2 4 8 43 86 113 172 226 344 452 677 904 1,354 2,708 4,859 5,416 9,718 19,436 29,111 38,872 58,222 76,501 116,444 153,002 232,888 306,004 612,008 3,289,543 6,579,086 13,158,172 26,316,344

Collatz Trajectory (149 steps to reach 1)

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

26,316,344 13,158,172 6,579,086 3,289,543 9,868,630 4,934,315 14,802,946 7,401,473 22,204,420 11,102,210 5,551,105 16,653,316 8,326,658 4,163,329 12,489,988 6,244,994 3,122,497 9,367,492 4,683,746 2,341,873 7,025,620 3,512,810 1,756,405 5,269,216 2,634,608 1,317,304 658,652 329,326 164,663 493,990 246,995 740,986 370,493 1,111,480 555,740 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454 117,227 351,682 175,841 527,524 263,762 131,881 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482

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