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Atlas › Integer Profiles › Node 26,054,826

26,054,826

2 × 3 × 7 × 47 × 67 × 197
Abundant Even Composite

26,054,826 factors as 2 × 3 × 7 × 47 × 67 × 197. Its 64 positive divisors give a proper-divisor sum of 35,987,286, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 47 × 67 × 197
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 62,042,112
Proper Divisor Sum 35,987,286
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26054773 ← → #26054851

Radix Representation

Decimal 26054826
Binary 1100011011001000010101010 (25 bits)
Octal 0o143310252
Hexadecimal 0x18D90AA

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 42 47 67 94 134 141 197 201 282 329 394 402 469 591 658 938 987 1,182 1,379 1,407 1,974 2,758 2,814 3,149 4,137 6,298 8,274 9,259 9,447 13,199 18,518 18,894 22,043 26,398 27,777 39,597 44,086 55,554 64,813 66,129 79,194 92,393 129,626 132,258 184,786 194,439 277,179 388,878 554,358 620,353 1,240,706 1,861,059 3,722,118

Collatz Trajectory (105 steps to reach 1)

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

26,054,826 13,027,413 39,082,240 19,541,120 9,770,560 4,885,280 2,442,640 1,221,320 610,660 305,330 152,665 457,996 228,998 114,499 343,498 171,749 515,248 257,624 128,812 64,406 32,203 96,610 48,305 144,916 72,458 36,229 108,688 54,344 27,172 13,586 6,793 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766

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