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Atlas › Integer Profiles › Node 4,497,090

4,497,090

2 × 3 × 5 × 132 × 887
Abundant Even Composite

4,497,090 factors as 2 × 3 × 5 × 13^2 × 887. Its 48 positive divisors give a proper-divisor sum of 7,203,198, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13^2 × 887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,700,288
Proper Divisor Sum 7,203,198
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4497089 ← → #4497109

Radix Representation

Decimal 4497090
Binary 10001001001111011000010 (23 bits)
Octal 0o21117302
Hexadecimal 0x449EC2

Divisor Catalog (48)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 887 1,014 1,690 1,774 2,535 2,661 4,435 5,070 5,322 8,870 11,531 13,305 23,062 26,610 34,593 57,655 69,186 115,310 149,903 172,965 299,806 345,930 449,709 749,515 899,418 1,499,030 2,248,545 4,497,090

Collatz Trajectory (110 steps to reach 1)

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

4,497,090 2,248,545 6,745,636 3,372,818 1,686,409 5,059,228 2,529,614 1,264,807 3,794,422 1,897,211 5,691,634 2,845,817 8,537,452 4,268,726 2,134,363 6,403,090 3,201,545 9,604,636 4,802,318 2,401,159 7,203,478 3,601,739 10,805,218 5,402,609 16,207,828 8,103,914 4,051,957 12,155,872 6,077,936 3,038,968 1,519,484 759,742 379,871 1,139,614 569,807 1,709,422 854,711 2,564,134 1,282,067 3,846,202 1,923,101 5,769,304 2,884,652 1,442,326 721,163 2,163,490 1,081,745 3,245,236 1,622,618 811,309 2,433,928 1,216,964 608,482 304,241 912,724 456,362 228,181 684,544 342,272 171,136

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