3,311,048

2³ × 13² × 31 × 79

3,311,048 has the prime decomposition 2^3 × 13^2 × 31 × 79. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 31 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,027,200

Proper Divisor Sum 3,716,152

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3311041 ← → #3311051

Radix Representation

Decimal	3311048
Binary	1100101000010111001000 (22 bits)
Octal	0o14502710
Hexadecimal	0x3285C8

Divisor Catalog (48)

1 2 4 8 13 26 31 52 62 79 104 124 158 169 248 316 338 403 632 676 806 1,027 1,352 1,612 2,054 2,449 3,224 4,108 4,898 5,239 8,216 9,796 10,478 13,351 19,592 20,956 26,702 31,837 41,912 53,404 63,674 106,808 127,348 254,696 413,881 827,762 1,655,524 3,311,048

Collatz Trajectory (89 steps to reach 1)

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

3,311,048 1,655,524 827,762 413,881 1,241,644 620,822 310,411 931,234 465,617 1,396,852 698,426 349,213 1,047,640 523,820 261,910 130,955 392,866 196,433 589,300 294,650 147,325 441,976 220,988 110,494 55,247 165,742 82,871 248,614 124,307 372,922 186,461 559,384 279,692 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005

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