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Atlas › Integer Profiles › Node 2,469,225

2,469,225

3 × 52 × 11 × 41 × 73
Deficient Odd Composite

2,469,225 factors as 3 × 5^2 × 11 × 41 × 73. Its 48 positive divisors give a proper-divisor sum of 2,155,479, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 41 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,624,704
Proper Divisor Sum 2,155,479
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2469197 ← → #2469241

Radix Representation

Decimal 2469225
Binary 1001011010110101101001 (22 bits)
Octal 0o11326551
Hexadecimal 0x25AD69

Divisor Catalog (48)

1 3 5 11 15 25 33 41 55 73 75 123 165 205 219 275 365 451 615 803 825 1,025 1,095 1,353 1,825 2,255 2,409 2,993 3,075 4,015 5,475 6,765 8,979 11,275 12,045 14,965 20,075 32,923 33,825 44,895 60,225 74,825 98,769 164,615 224,475 493,845 823,075 2,469,225

Collatz Trajectory (161 steps to reach 1)

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

2,469,225 7,407,676 3,703,838 1,851,919 5,555,758 2,777,879 8,333,638 4,166,819 12,500,458 6,250,229 18,750,688 9,375,344 4,687,672 2,343,836 1,171,918 585,959 1,757,878 878,939 2,636,818 1,318,409 3,955,228 1,977,614 988,807 2,966,422 1,483,211 4,449,634 2,224,817 6,674,452 3,337,226 1,668,613 5,005,840 2,502,920 1,251,460 625,730 312,865 938,596 469,298 234,649 703,948 351,974 175,987 527,962 263,981 791,944 395,972 197,986 98,993 296,980 148,490 74,245 222,736 111,368 55,684 27,842 13,921 41,764 20,882 10,441 31,324 15,662

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