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Atlas › Integer Profiles › Node 26,379,808

26,379,808

25 × 7 × 13 × 9059
Abundant Even Composite

26,379,808 factors as 2^5 × 7 × 13 × 9059. Its 48 positive divisors give a proper-divisor sum of 37,547,552, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 9059
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,927,360
Proper Divisor Sum 37,547,552
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #26379799 ← → #26379811

Radix Representation

Decimal 26379808
Binary 1100100101000011000100000 (25 bits)
Octal 0o144503040
Hexadecimal 0x1928620

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,456 2,912 9,059 18,118 36,236 63,413 72,472 117,767 126,826 144,944 235,534 253,652 289,888 471,068 507,304 824,369 942,136 1,014,608 1,648,738 1,884,272 2,029,216 3,297,476 3,768,544 6,594,952 13,189,904 26,379,808

Collatz Trajectory (211 steps to reach 1)

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

26,379,808 13,189,904 6,594,952 3,297,476 1,648,738 824,369 2,473,108 1,236,554 618,277 1,854,832 927,416 463,708 231,854 115,927 347,782 173,891 521,674 260,837 782,512 391,256 195,628 97,814 48,907 146,722 73,361 220,084 110,042 55,021 165,064 82,532 41,266 20,633 61,900 30,950 15,475 46,426 23,213 69,640 34,820 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775

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