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Atlas › Integer Profiles › Node 31,521,225

31,521,225

3 × 52 × 372 × 307
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 37^2 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 53,736,144
Proper Divisor Sum 22,214,919
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #31521223 ← → #31521227

Radix Representation

Decimal 31521225
Binary 1111000001111100111001001 (25 bits)
Octal 0o170174711
Hexadecimal 0x1E0F9C9

Divisor Catalog (36)

1 3 5 15 25 37 75 111 185 307 555 921 925 1,369 1,535 2,775 4,107 4,605 6,845 7,675 11,359 20,535 23,025 34,077 34,225 56,795 102,675 170,385 283,975 420,283 851,925 1,260,849 2,101,415 6,304,245 10,507,075 31,521,225

Collatz Trajectory (201 steps to reach 1)

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

31,521,225 94,563,676 47,281,838 23,640,919 70,922,758 35,461,379 106,384,138 53,192,069 159,576,208 79,788,104 39,894,052 19,947,026 9,973,513 29,920,540 14,960,270 7,480,135 22,440,406 11,220,203 33,660,610 16,830,305 50,490,916 25,245,458 12,622,729 37,868,188 18,934,094 9,467,047 28,401,142 14,200,571 42,601,714 21,300,857 63,902,572 31,951,286 15,975,643 47,926,930 23,963,465 71,890,396 35,945,198 17,972,599 53,917,798 26,958,899 80,876,698 40,438,349 121,315,048 60,657,524 30,328,762 15,164,381 45,493,144 22,746,572 11,373,286 5,686,643 17,059,930 8,529,965 25,589,896 12,794,948 6,397,474 3,198,737 9,596,212 4,798,106 2,399,053 7,197,160

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