λ
Harmonic Matrix

3,588,333

3 × 7 × 170873
Deficient Odd Composite

3,588,333 has digital root 6. The neighboring primes are 3588289 and 3588337; its proper-divisor sum differs from the starting integer by -1,708,698.

Prime Factor Structure

Factorization String 3 × 7 × 170873
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,467,968
Proper Divisor Sum 1,879,635
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3588289 ← → #3588337

Radix Representation

Decimal 3588333
Binary 1101101100000011101101 (22 bits)
Octal 0o15540355
Hexadecimal 0x36C0ED

Divisor Catalog (8)

1 3 7 21 170,873 512,619 1,196,111 3,588,333

Collatz Trajectory (97 steps to reach 1)

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

3,588,333 10,765,000 5,382,500 2,691,250 1,345,625 4,036,876 2,018,438 1,009,219 3,027,658 1,513,829 4,541,488 2,270,744 1,135,372 567,686 283,843 851,530 425,765 1,277,296 638,648 319,324 159,662 79,831 239,494 119,747 359,242 179,621 538,864 269,432 134,716 67,358 33,679 101,038 50,519 151,558 75,779 227,338 113,669 341,008 170,504 85,252 42,626 21,313 63,940 31,970 15,985 47,956 23,978 11,989 35,968 17,984 8,992 4,496 2,248 1,124 562 281 844 422 211 634

More profiles

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