λ
Harmonic Matrix

9,116,410

2 × 5 × 269 × 3389
Deficient Even Composite

9,116,410 has digital root 4. The neighboring primes are 9116407 and 9116417; its proper-divisor sum differs from the starting integer by -1,757,420.

Prime Factor Structure

Factorization String 2 × 5 × 269 × 3389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,475,400
Proper Divisor Sum 7,358,990
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9116407 ← → #9116417

Radix Representation

Decimal 9116410
Binary 100010110001101011111010 (24 bits)
Octal 0o42615372
Hexadecimal 0x8B1AFA

Divisor Catalog (16)

1 2 5 10 269 538 1,345 2,690 3,389 6,778 16,945 33,890 911,641 1,823,282 4,558,205 9,116,410

Collatz Trajectory (80 steps to reach 1)

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

9,116,410 4,558,205 13,674,616 6,837,308 3,418,654 1,709,327 5,127,982 2,563,991 7,691,974 3,845,987 11,537,962 5,768,981 17,306,944 8,653,472 4,326,736 2,163,368 1,081,684 540,842 270,421 811,264 405,632 202,816 101,408 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610

More profiles

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