26,123,458

2 × 17 × 89² × 97

26,123,458 factors as 2 × 17 × 89^2 × 97. Its 24 positive divisors give a proper-divisor sum of 16,270,754, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 17 × 89^2 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 42,394,212

Proper Divisor Sum 16,270,754

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #26123431 ← → #26123467

Radix Representation

Decimal	26123458
Binary	1100011101001110011000010 (25 bits)
Octal	0o143516302
Hexadecimal	0x18E9CC2

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

26,123,458 13,061,729 39,185,188 19,592,594 9,796,297 29,388,892 14,694,446 7,347,223 22,041,670 11,020,835 33,062,506 16,531,253 49,593,760 24,796,880 12,398,440 6,199,220 3,099,610 1,549,805 4,649,416 2,324,708 1,162,354 581,177 1,743,532 871,766 435,883 1,307,650 653,825 1,961,476 980,738 490,369 1,471,108 735,554 367,777 1,103,332 551,666 275,833 827,500 413,750 206,875 620,626 310,313 930,940 465,470 232,735 698,206 349,103 1,047,310 523,655 1,570,966 785,483 2,356,450 1,178,225 3,534,676 1,767,338 883,669 2,651,008 1,325,504 662,752 331,376 165,688

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