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Atlas › Integer Profiles › Node 2,425,962

2,425,962

2 × 3 × 7 × 11 × 59 × 89
Abundant Even Composite

2,425,962 factors as 2 × 3 × 7 × 11 × 59 × 89. Its 64 positive divisors give a proper-divisor sum of 3,794,838, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 59 × 89
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,220,800
Proper Divisor Sum 3,794,838
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2425961 ← → #2425981

Radix Representation

Decimal 2425962
Binary 1001010000010001101010 (22 bits)
Octal 0o11202152
Hexadecimal 0x25046A

Divisor Catalog (60 of 64)

1 2 3 6 7 11 14 21 22 33 42 59 66 77 89 118 154 177 178 231 267 354 413 462 534 623 649 826 979 1,239 1,246 1,298 1,869 1,947 1,958 2,478 2,937 3,738 3,894 4,543 5,251 5,874 6,853 9,086 10,502 13,629 13,706 15,753 20,559 27,258 31,506 36,757 41,118 57,761 73,514 110,271 115,522 173,283 220,542 346,566

Collatz Trajectory (68 steps to reach 1)

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

2,425,962 1,212,981 3,638,944 1,819,472 909,736 454,868 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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