26,296,172

2² × 7 × 431 × 2179

26,296,172 factors as 2^2 × 7 × 431 × 2179. Its 24 positive divisors give a proper-divisor sum of 26,442,388, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 431 × 2179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 52,738,560

Proper Divisor Sum 26,442,388

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #26296169 ← → #26296181

Radix Representation

Decimal	26296172
Binary	1100100010011111101101100 (25 bits)
Octal	0o144237554
Hexadecimal	0x1913F6C

Divisor Catalog (24)

Collatz Trajectory (167 steps to reach 1)

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

26,296,172 13,148,086 6,574,043 19,722,130 9,861,065 29,583,196 14,791,598 7,395,799 22,187,398 11,093,699 33,281,098 16,640,549 49,921,648 24,960,824 12,480,412 6,240,206 3,120,103 9,360,310 4,680,155 14,040,466 7,020,233 21,060,700 10,530,350 5,265,175 15,795,526 7,897,763 23,693,290 11,846,645 35,539,936 17,769,968 8,884,984 4,442,492 2,221,246 1,110,623 3,331,870 1,665,935 4,997,806 2,498,903 7,496,710 3,748,355 11,245,066 5,622,533 16,867,600 8,433,800 4,216,900 2,108,450 1,054,225 3,162,676 1,581,338 790,669 2,372,008 1,186,004 593,002 296,501 889,504 444,752 222,376 111,188 55,594 27,797

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