λ
Harmonic Matrix

1,652,946

2 × 3 × 275491
Abundant Even Composite

1,652,946 has digital root 6. The neighboring primes are 1652933 and 1652947; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 275491
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,305,904
Proper Divisor Sum 1,652,958
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1652933 ← → #1652947

Radix Representation

Decimal 1652946
Binary 110010011100011010010 (21 bits)
Octal 0o6234322
Hexadecimal 0x1938D2

Divisor Catalog (8)

1 2 3 6 275,491 550,982 826,473 1,652,946

Collatz Trajectory (145 steps to reach 1)

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

1,652,946 826,473 2,479,420 1,239,710 619,855 1,859,566 929,783 2,789,350 1,394,675 4,184,026 2,092,013 6,276,040 3,138,020 1,569,010 784,505 2,353,516 1,176,758 588,379 1,765,138 882,569 2,647,708 1,323,854 661,927 1,985,782 992,891 2,978,674 1,489,337 4,468,012 2,234,006 1,117,003 3,351,010 1,675,505 5,026,516 2,513,258 1,256,629 3,769,888 1,884,944 942,472 471,236 235,618 117,809 353,428 176,714 88,357 265,072 132,536 66,268 33,134 16,567 49,702 24,851 74,554 37,277 111,832 55,916 27,958 13,979 41,938 20,969 62,908

More profiles

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