λ
Harmonic Matrix

7,967,413

643 × 12391
Deficient Odd Composite

7,967,413 has digital root 1. The neighboring primes are 7967389 and 7967417; its proper-divisor sum differs from the starting integer by -7,954,378.

Prime Factor Structure

Factorization String 643 × 12391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,980,448
Proper Divisor Sum 13,035
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7967389 ← → #7967417

Radix Representation

Decimal 7967413
Binary 11110011001001010110101 (23 bits)
Octal 0o36311265
Hexadecimal 0x7992B5

Divisor Catalog (4)

1 643 12,391 7,967,413

Collatz Trajectory (217 steps to reach 1)

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

7,967,413 23,902,240 11,951,120 5,975,560 2,987,780 1,493,890 746,945 2,240,836 1,120,418 560,209 1,680,628 840,314 420,157 1,260,472 630,236 315,118 157,559 472,678 236,339 709,018 354,509 1,063,528 531,764 265,882 132,941 398,824 199,412 99,706 49,853 149,560 74,780 37,390 18,695 56,086 28,043 84,130 42,065 126,196 63,098 31,549 94,648 47,324 23,662 11,831 35,494 17,747 53,242 26,621 79,864 39,932 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543

More profiles

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