26,311,600

2⁴ × 5² × 7 × 9397

26,311,600 factors as 2^4 × 5^2 × 7 × 9397. Its 60 positive divisors give a proper-divisor sum of 45,940,224, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 9397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 72,251,824

Proper Divisor Sum 45,940,224

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #26311583 ← → #26311601

Radix Representation

Decimal	26311600
Binary	1100100010111101110110000 (25 bits)
Octal	0o144275660
Hexadecimal	0x1917BB0

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,400 2,800 9,397 18,794 37,588 46,985 65,779 75,176 93,970 131,558 150,352 187,940 234,925 263,116 328,895 375,880 469,850 526,232 657,790 751,760 939,700 1,052,464 1,315,580 1,644,475 1,879,400 2,631,160 3,288,950 3,758,800 5,262,320 6,577,900 13,155,800 26,311,600

Collatz Trajectory (118 steps to reach 1)

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

26,311,600 13,155,800 6,577,900 3,288,950 1,644,475 4,933,426 2,466,713 7,400,140 3,700,070 1,850,035 5,550,106 2,775,053 8,325,160 4,162,580 2,081,290 1,040,645 3,121,936 1,560,968 780,484 390,242 195,121 585,364 292,682 146,341 439,024 219,512 109,756 54,878 27,439 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070 19,535 58,606 29,303 87,910 43,955 131,866 65,933 197,800 98,900 49,450 24,725 74,176 37,088 18,544 9,272 4,636

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