λ
Harmonic Matrix

9,217,738

2 × 43 × 107183
Deficient Even Composite

9,217,738 has digital root 1. The neighboring primes are 9217727 and 9217739; its proper-divisor sum differs from the starting integer by -4,287,188.

Prime Factor Structure

Factorization String 2 × 43 × 107183
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,148,288
Proper Divisor Sum 4,930,550
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9217727 ← → #9217739

Radix Representation

Decimal 9217738
Binary 100011001010011011001010 (24 bits)
Octal 0o43123312
Hexadecimal 0x8CA6CA

Divisor Catalog (8)

1 2 43 86 107,183 214,366 4,608,869 9,217,738

Collatz Trajectory (88 steps to reach 1)

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

9,217,738 4,608,869 13,826,608 6,913,304 3,456,652 1,728,326 864,163 2,592,490 1,296,245 3,888,736 1,944,368 972,184 486,092 243,046 121,523 364,570 182,285 546,856 273,428 136,714 68,357 205,072 102,536 51,268 25,634 12,817 38,452 19,226 9,613 28,840 14,420 7,210 3,605 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640

More profiles

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