26,201,217

3 × 7 × 37 × 33721

26,201,217 factors as 3 × 7 × 37 × 33721. Its 16 positive divisors give a proper-divisor sum of 14,804,735, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 33721

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 41,005,952

Proper Divisor Sum 14,804,735

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #26201213 ← → #26201237

Radix Representation

Decimal	26201217
Binary	1100011111100110010000001 (25 bits)
Octal	0o143746201
Hexadecimal	0x18FCC81

Divisor Catalog (16)

1 3 7 21 37 111 259 777 33,721 101,163 236,047 708,141 1,247,677 3,743,031 8,733,739 26,201,217

Collatz Trajectory (118 steps to reach 1)

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

26,201,217 78,603,652 39,301,826 19,650,913 58,952,740 29,476,370 14,738,185 44,214,556 22,107,278 11,053,639 33,160,918 16,580,459 49,741,378 24,870,689 74,612,068 37,306,034 18,653,017 55,959,052 27,979,526 13,989,763 41,969,290 20,984,645 62,953,936 31,476,968 15,738,484 7,869,242 3,934,621 11,803,864 5,901,932 2,950,966 1,475,483 4,426,450 2,213,225 6,639,676 3,319,838 1,659,919 4,979,758 2,489,879 7,469,638 3,734,819 11,204,458 5,602,229 16,806,688 8,403,344 4,201,672 2,100,836 1,050,418 525,209 1,575,628 787,814 393,907 1,181,722 590,861 1,772,584 886,292 443,146 221,573 664,720 332,360 166,180

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