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Atlas › Integer Profiles › Node 26,201,214

26,201,214

2 × 32 × 13 × 41 × 2731
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 41 × 2731
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,650,224
Proper Divisor Sum 36,449,010
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #26201213 ← → #26201237

Radix Representation

Decimal 26201214
Binary 1100011111100110001111110 (25 bits)
Octal 0o143746176
Hexadecimal 0x18FCC7E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1,066 1,599 2,731 3,198 4,797 5,462 8,193 9,594 16,386 24,579 35,503 49,158 71,006 106,509 111,971 213,018 223,942 319,527 335,913 639,054 671,826 1,007,739 1,455,623 2,015,478 2,911,246 4,366,869 8,733,738 13,100,607 26,201,214

Collatz Trajectory (118 steps to reach 1)

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

26,201,214 13,100,607 39,301,822 19,650,911 58,952,734 29,476,367 88,429,102 44,214,551 132,643,654 66,321,827 198,965,482 99,482,741 298,448,224 149,224,112 74,612,056 37,306,028 18,653,014 9,326,507 27,979,522 13,989,761 41,969,284 20,984,642 10,492,321 31,476,964 15,738,482 7,869,241 23,607,724 11,803,862 5,901,931 17,705,794 8,852,897 26,558,692 13,279,346 6,639,673 19,919,020 9,959,510 4,979,755 14,939,266 7,469,633 22,408,900 11,204,450 5,602,225 16,806,676 8,403,338 4,201,669 12,605,008 6,302,504 3,151,252 1,575,626 787,813 2,363,440 1,181,720 590,860 295,430 147,715 443,146 221,573 664,720 332,360 166,180

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