25,936,900

2² × 5² × 11 × 17 × 19 × 73

25,936,900 factors as 2^2 × 5^2 × 11 × 17 × 19 × 73. Its 144 positive divisors give a proper-divisor sum of 43,433,660, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 17 × 19 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 69,370,560

Proper Divisor Sum 43,433,660

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #25936879 ← → #25936909

Radix Representation

Decimal	25936900
Binary	1100010111100010000000100 (25 bits)
Octal	0o142742004
Hexadecimal	0x18BC404

Divisor Catalog (60 of 144)

1 2 4 5 10 11 17 19 20 22 25 34 38 44 50 55 68 73 76 85 95 100 110 146 170 187 190 209 220 275 292 323 340 365 374 380 418 425 475 550 646 730 748 803 836 850 935 950 1,045 1,100 1,241 1,292 1,387 1,460 1,606 1,615 1,700 1,825 1,870 1,900

Collatz Trajectory (118 steps to reach 1)

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

25,936,900 12,968,450 6,484,225 19,452,676 9,726,338 4,863,169 14,589,508 7,294,754 3,647,377 10,942,132 5,471,066 2,735,533 8,206,600 4,103,300 2,051,650 1,025,825 3,077,476 1,538,738 769,369 2,308,108 1,154,054 577,027 1,731,082 865,541 2,596,624 1,298,312 649,156 324,578 162,289 486,868 243,434 121,717 365,152 182,576 91,288 45,644 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430

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