26,270,776

2³ × 7 × 469121

26,270,776 factors as 2^3 × 7 × 469121. Its 16 positive divisors give a proper-divisor sum of 30,023,864, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 469121

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 56,294,640

Proper Divisor Sum 30,023,864

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #26270773 ← → #26270779

Radix Representation

Decimal	26270776
Binary	1100100001101110000111000 (25 bits)
Octal	0o144156070
Hexadecimal	0x190DC38

Divisor Catalog (16)

1 2 4 7 8 14 28 56 469,121 938,242 1,876,484 3,283,847 3,752,968 6,567,694 13,135,388 26,270,776

Collatz Trajectory (198 steps to reach 1)

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

26,270,776 13,135,388 6,567,694 3,283,847 9,851,542 4,925,771 14,777,314 7,388,657 22,165,972 11,082,986 5,541,493 16,624,480 8,312,240 4,156,120 2,078,060 1,039,030 519,515 1,558,546 779,273 2,337,820 1,168,910 584,455 1,753,366 876,683 2,630,050 1,315,025 3,945,076 1,972,538 986,269 2,958,808 1,479,404 739,702 369,851 1,109,554 554,777 1,664,332 832,166 416,083 1,248,250 624,125 1,872,376 936,188 468,094 234,047 702,142 351,071 1,053,214 526,607 1,579,822 789,911 2,369,734 1,184,867 3,554,602 1,777,301 5,331,904 2,665,952 1,332,976 666,488 333,244 166,622

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