21,361,833

3³ × 19 × 41641

21,361,833 factors as 3^3 × 19 × 41641. Its 16 positive divisors give a proper-divisor sum of 11,951,767, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 3^3 × 19 × 41641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 33,313,600

Proper Divisor Sum 11,951,767

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #21361831 ← → #21361853

Radix Representation

Decimal	21361833
Binary	1010001011111010010101001 (25 bits)
Octal	0o121372251
Hexadecimal	0x145F4A9

Divisor Catalog (16)

1 3 9 19 27 57 171 513 41,641 124,923 374,769 791,179 1,124,307 2,373,537 7,120,611 21,361,833

Collatz Trajectory (146 steps to reach 1)

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

21,361,833 64,085,500 32,042,750 16,021,375 48,064,126 24,032,063 72,096,190 36,048,095 108,144,286 54,072,143 162,216,430 81,108,215 243,324,646 121,662,323 364,986,970 182,493,485 547,480,456 273,740,228 136,870,114 68,435,057 205,305,172 102,652,586 51,326,293 153,978,880 76,989,440 38,494,720 19,247,360 9,623,680 4,811,840 2,405,920 1,202,960 601,480 300,740 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766

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