26,278,816

2⁵ × 587 × 1399

26,278,816 factors as 2^5 × 587 × 1399. Its 24 positive divisors give a proper-divisor sum of 25,582,784, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^5 × 587 × 1399

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 51,861,600

Proper Divisor Sum 25,582,784

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #26278801 ← → #26278823

Radix Representation

Decimal	26278816
Binary	1100100001111101110100000 (25 bits)
Octal	0o144175640
Hexadecimal	0x190FBA0

Divisor Catalog (24)

Collatz Trajectory (105 steps to reach 1)

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

26,278,816 13,139,408 6,569,704 3,284,852 1,642,426 821,213 2,463,640 1,231,820 615,910 307,955 923,866 461,933 1,385,800 692,900 346,450 173,225 519,676 259,838 129,919 389,758 194,879 584,638 292,319 876,958 438,479 1,315,438 657,719 1,973,158 986,579 2,959,738 1,479,869 4,439,608 2,219,804 1,109,902 554,951 1,664,854 832,427 2,497,282 1,248,641 3,745,924 1,872,962 936,481 2,809,444 1,404,722 702,361 2,107,084 1,053,542 526,771 1,580,314 790,157 2,370,472 1,185,236 592,618 296,309 888,928 444,464 222,232 111,116 55,558 27,779

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