λ
Harmonic Matrix

6,043,587

3 × 112 × 16649
Deficient Odd Composite

6,043,587 has digital root 6. The neighboring primes are 6043573 and 6043603; its proper-divisor sum differs from the starting integer by -3,229,374.

Prime Factor Structure

Factorization String 3 × 11^2 × 16649
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,857,800
Proper Divisor Sum 2,814,213
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6043573 ← → #6043603

Radix Representation

Decimal 6043587
Binary 10111000011011111000011 (23 bits)
Octal 0o27033703
Hexadecimal 0x5C37C3

Divisor Catalog (12)

1 3 11 33 121 363 16,649 49,947 183,139 549,417 2,014,529 6,043,587

Collatz Trajectory (90 steps to reach 1)

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

6,043,587 18,130,762 9,065,381 27,196,144 13,598,072 6,799,036 3,399,518 1,699,759 5,099,278 2,549,639 7,648,918 3,824,459 11,473,378 5,736,689 17,210,068 8,605,034 4,302,517 12,907,552 6,453,776 3,226,888 1,613,444 806,722 403,361 1,210,084 605,042 302,521 907,564 453,782 226,891 680,674 340,337 1,021,012 510,506 255,253 765,760 382,880 191,440 95,720 47,860 23,930 11,965 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066

More profiles

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