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Atlas › Integer Profiles › Node 2,642,500

2,642,500

22 × 54 × 7 × 151
Abundant Even Composite

2,642,500 factors as 2^2 × 5^4 × 7 × 151. Its 60 positive divisors give a proper-divisor sum of 4,005,372, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 7 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,647,872
Proper Divisor Sum 4,005,372
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2642483 ← → #2642513

Radix Representation

Decimal 2642500
Binary 1010000101001001000100 (22 bits)
Octal 0o12051104
Hexadecimal 0x285244

Divisor Catalog (60)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 151 175 250 302 350 500 604 625 700 755 875 1,057 1,250 1,510 1,750 2,114 2,500 3,020 3,500 3,775 4,228 4,375 5,285 7,550 8,750 10,570 15,100 17,500 18,875 21,140 26,425 37,750 52,850 75,500 94,375 105,700 132,125 188,750 264,250 377,500 528,500 660,625 1,321,250 2,642,500

Collatz Trajectory (156 steps to reach 1)

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

2,642,500 1,321,250 660,625 1,981,876 990,938 495,469 1,486,408 743,204 371,602 185,801 557,404 278,702 139,351 418,054 209,027 627,082 313,541 940,624 470,312 235,156 117,578 58,789 176,368 88,184 44,092 22,046 11,023 33,070 16,535 49,606 24,803 74,410 37,205 111,616 55,808 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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