λ
Harmonic Matrix

4,613,467

4613467
Deficient Odd Prime

4,613,467 has digital root 4. The neighboring primes are 4613461 and 4613471; its proper-divisor sum differs from the starting integer by -4,613,466.

Prime Factor Structure

Factorization String 4613467
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,613,468
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4613461 ← → #4613471

Radix Representation

Decimal 4613467
Binary 10001100110010101011011 (23 bits)
Octal 0o21462533
Hexadecimal 0x46655B

Divisor Catalog (2)

Collatz Trajectory (224 steps to reach 1)

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

4,613,467 13,840,402 6,920,201 20,760,604 10,380,302 5,190,151 15,570,454 7,785,227 23,355,682 11,677,841 35,033,524 17,516,762 8,758,381 26,275,144 13,137,572 6,568,786 3,284,393 9,853,180 4,926,590 2,463,295 7,389,886 3,694,943 11,084,830 5,542,415 16,627,246 8,313,623 24,940,870 12,470,435 37,411,306 18,705,653 56,116,960 28,058,480 14,029,240 7,014,620 3,507,310 1,753,655 5,260,966 2,630,483 7,891,450 3,945,725 11,837,176 5,918,588 2,959,294 1,479,647 4,438,942 2,219,471 6,658,414 3,329,207 9,987,622 4,993,811 14,981,434 7,490,717 22,472,152 11,236,076 5,618,038 2,809,019 8,427,058 4,213,529 12,640,588 6,320,294

More profiles

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