λ
Harmonic Matrix

3,265,902

2 × 32 × 181439
Abundant Even Composite

3,265,902 has digital root 9. The neighboring primes are 3265901 and 3265903; its proper-divisor sum differs from the starting integer by 544,356.

Prime Factor Structure

Factorization String 2 × 3^2 × 181439
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,076,160
Proper Divisor Sum 3,810,258
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3265901 ← → #3265903

Radix Representation

Decimal 3265902
Binary 1100011101010101101110 (22 bits)
Octal 0o14352556
Hexadecimal 0x31D56E

Divisor Catalog (12)

1 2 3 6 9 18 181,439 362,878 544,317 1,088,634 1,632,951 3,265,902

Collatz Trajectory (120 steps to reach 1)

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

3,265,902 1,632,951 4,898,854 2,449,427 7,348,282 3,674,141 11,022,424 5,511,212 2,755,606 1,377,803 4,133,410 2,066,705 6,200,116 3,100,058 1,550,029 4,650,088 2,325,044 1,162,522 581,261 1,743,784 871,892 435,946 217,973 653,920 326,960 163,480 81,740 40,870 20,435 61,306 30,653 91,960 45,980 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306

More profiles

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