λ
Harmonic Matrix

7,318,789

17 × 430517
Deficient Odd Composite

7,318,789 has digital root 7. The neighboring primes are 7318777 and 7318813; its proper-divisor sum differs from the starting integer by -6,888,254.

Prime Factor Structure

Factorization String 17 × 430517
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,749,324
Proper Divisor Sum 430,535
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7318777 ← → #7318813

Radix Representation

Decimal 7318789
Binary 11011111010110100000101 (23 bits)
Octal 0o33726405
Hexadecimal 0x6FAD05

Divisor Catalog (4)

1 17 430,517 7,318,789

Collatz Trajectory (111 steps to reach 1)

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

7,318,789 21,956,368 10,978,184 5,489,092 2,744,546 1,372,273 4,116,820 2,058,410 1,029,205 3,087,616 1,543,808 771,904 385,952 192,976 96,488 48,244 24,122 12,061 36,184 18,092 9,046 4,523 13,570 6,785 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291

More profiles

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