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Atlas › Integer Profiles › Node 2,425,572

2,425,572

22 × 33 × 37 × 607
Abundant Even Composite

2,425,572 factors as 2^2 × 3^3 × 37 × 607. Its 48 positive divisors give a proper-divisor sum of 4,043,548, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,469,120
Proper Divisor Sum 4,043,548
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2425567 ← → #2425613

Radix Representation

Decimal 2425572
Binary 1001010000001011100100 (22 bits)
Octal 0o11201344
Hexadecimal 0x2502E4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 607 666 999 1,214 1,332 1,821 1,998 2,428 3,642 3,996 5,463 7,284 10,926 16,389 21,852 22,459 32,778 44,918 65,556 67,377 89,836 134,754 202,131 269,508 404,262 606,393 808,524 1,212,786 2,425,572

Collatz Trajectory (161 steps to reach 1)

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

2,425,572 1,212,786 606,393 1,819,180 909,590 454,795 1,364,386 682,193 2,046,580 1,023,290 511,645 1,534,936 767,468 383,734 191,867 575,602 287,801 863,404 431,702 215,851 647,554 323,777 971,332 485,666 242,833 728,500 364,250 182,125 546,376 273,188 136,594 68,297 204,892 102,446 51,223 153,670 76,835 230,506 115,253 345,760 172,880 86,440 43,220 21,610 10,805 32,416 16,208 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430

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