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Atlas › Integer Profiles › Node 26,715,440

26,715,440

24 × 5 × 419 × 797
Abundant Even Composite

26,715,440 factors as 2^4 × 5 × 419 × 797. Its 40 positive divisors give a proper-divisor sum of 35,624,320, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 419 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 62,339,760
Proper Divisor Sum 35,624,320
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #26715433 ← → #26715457

Radix Representation

Decimal 26715440
Binary 1100101111010010100110000 (25 bits)
Octal 0o145722460
Hexadecimal 0x197A530

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 419 797 838 1,594 1,676 2,095 3,188 3,352 3,985 4,190 6,376 6,704 7,970 8,380 12,752 15,940 16,760 31,880 33,520 63,760 333,943 667,886 1,335,772 1,669,715 2,671,544 3,339,430 5,343,088 6,678,860 13,357,720 26,715,440

Collatz Trajectory (193 steps to reach 1)

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

26,715,440 13,357,720 6,678,860 3,339,430 1,669,715 5,009,146 2,504,573 7,513,720 3,756,860 1,878,430 939,215 2,817,646 1,408,823 4,226,470 2,113,235 6,339,706 3,169,853 9,509,560 4,754,780 2,377,390 1,188,695 3,566,086 1,783,043 5,349,130 2,674,565 8,023,696 4,011,848 2,005,924 1,002,962 501,481 1,504,444 752,222 376,111 1,128,334 564,167 1,692,502 846,251 2,538,754 1,269,377 3,808,132 1,904,066 952,033 2,856,100 1,428,050 714,025 2,142,076 1,071,038 535,519 1,606,558 803,279 2,409,838 1,204,919 3,614,758 1,807,379 5,422,138 2,711,069 8,133,208 4,066,604 2,033,302 1,016,651

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