3,023,496

2³ × 3² × 7² × 857

3,023,496 factors as 2^3 × 3^2 × 7^2 × 857. Its 72 positive divisors give a proper-divisor sum of 6,513,174, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,536,670

Proper Divisor Sum 6,513,174

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3023479 ← → #3023497

Radix Representation

Decimal	3023496
Binary	1011100010001010001000 (22 bits)
Octal	0o13421210
Hexadecimal	0x2E2288

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 857 882 1,176 1,714 1,764 2,571 3,428 3,528 5,142 5,999 6,856 7,713 10,284 11,998 15,426 17,997 20,568 23,996 30,852 35,994 41,993 47,992 53,991 61,704 71,988 83,986 107,982 125,979

Collatz Trajectory (89 steps to reach 1)

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

3,023,496 1,511,748 755,874 377,937 1,133,812 566,906 283,453 850,360 425,180 212,590 106,295 318,886 159,443 478,330 239,165 717,496 358,748 179,374 89,687 269,062 134,531 403,594 201,797 605,392 302,696 151,348 75,674 37,837 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538

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