λ
Harmonic Matrix

3,264,750

2 × 32 × 53 × 1451
Abundant Even Composite

3,264,750 has digital root 9. The neighboring primes are 3264749 and 3264773; its proper-divisor sum differs from the starting integer by 2,304,468.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^3 × 1451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,833,968
Proper Divisor Sum 5,569,218
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3264749 ← → #3264773

Radix Representation

Decimal 3264750
Binary 1100011101000011101110 (22 bits)
Octal 0o14350356
Hexadecimal 0x31D0EE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1,125 1,451 2,250 2,902 4,353 7,255 8,706 13,059 14,510 21,765 26,118 36,275 43,530 65,295 72,550 108,825 130,590 181,375 217,650 326,475 362,750 544,125 652,950 1,088,250 1,632,375 3,264,750

Collatz Trajectory (208 steps to reach 1)

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

3,264,750 1,632,375 4,897,126 2,448,563 7,345,690 3,672,845 11,018,536 5,509,268 2,754,634 1,377,317 4,131,952 2,065,976 1,032,988 516,494 258,247 774,742 387,371 1,162,114 581,057 1,743,172 871,586 435,793 1,307,380 653,690 326,845 980,536 490,268 245,134 122,567 367,702 183,851 551,554 275,777 827,332 413,666 206,833 620,500 310,250 155,125 465,376 232,688 116,344 58,172 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252

More profiles

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