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Atlas › Integer Profiles › Node 3,360,435

3,360,435

3 × 5 × 13 × 19 × 907
Deficient Odd Composite

3,360,435 factors as 3 × 5 × 13 × 19 × 907. Its 32 positive divisors give a proper-divisor sum of 2,741,325, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 19 × 907
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,101,760
Proper Divisor Sum 2,741,325
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3360419 ← → #3360439

Radix Representation

Decimal 3360435
Binary 1100110100011010110011 (22 bits)
Octal 0o14643263
Hexadecimal 0x3346B3

Divisor Catalog (32)

1 3 5 13 15 19 39 57 65 95 195 247 285 741 907 1,235 2,721 3,705 4,535 11,791 13,605 17,233 35,373 51,699 58,955 86,165 176,865 224,029 258,495 672,087 1,120,145 3,360,435

Collatz Trajectory (208 steps to reach 1)

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

3,360,435 10,081,306 5,040,653 15,121,960 7,560,980 3,780,490 1,890,245 5,670,736 2,835,368 1,417,684 708,842 354,421 1,063,264 531,632 265,816 132,908 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939

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