26,616,742

2 × 43 × 173 × 1789

26,616,742 factors as 2 × 43 × 173 × 1789. Its 16 positive divisors give a proper-divisor sum of 14,495,978, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 43 × 173 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 41,112,720

Proper Divisor Sum 14,495,978

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #26616731 ← → #26616761

Radix Representation

Decimal	26616742
Binary	1100101100010001110100110 (25 bits)
Octal	0o145421646
Hexadecimal	0x19623A6

Divisor Catalog (16)

1 2 43 86 173 346 1,789 3,578 7,439 14,878 76,927 153,854 309,497 618,994 13,308,371 26,616,742

Collatz Trajectory (167 steps to reach 1)

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

26,616,742 13,308,371 39,925,114 19,962,557 59,887,672 29,943,836 14,971,918 7,485,959 22,457,878 11,228,939 33,686,818 16,843,409 50,530,228 25,265,114 12,632,557 37,897,672 18,948,836 9,474,418 4,737,209 14,211,628 7,105,814 3,552,907 10,658,722 5,329,361 15,988,084 7,994,042 3,997,021 11,991,064 5,995,532 2,997,766 1,498,883 4,496,650 2,248,325 6,744,976 3,372,488 1,686,244 843,122 421,561 1,264,684 632,342 316,171 948,514 474,257 1,422,772 711,386 355,693 1,067,080 533,540 266,770 133,385 400,156 200,078 100,039 300,118 150,059 450,178 225,089 675,268 337,634 168,817

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