λ
Harmonic Matrix

9,386,792

23 × 1173349
Deficient Even Composite

9,386,792 has digital root 8. The neighboring primes are 9386791 and 9386801; its proper-divisor sum differs from the starting integer by -1,173,334.

Prime Factor Structure

Factorization String 2^3 × 1173349
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,600,250
Proper Divisor Sum 8,213,458
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9386791 ← → #9386801

Radix Representation

Decimal 9386792
Binary 100011110011101100101000 (24 bits)
Octal 0o43635450
Hexadecimal 0x8F3B28

Divisor Catalog (8)

1 2 4 8 1,173,349 2,346,698 4,693,396 9,386,792

Collatz Trajectory (101 steps to reach 1)

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

9,386,792 4,693,396 2,346,698 1,173,349 3,520,048 1,760,024 880,012 440,006 220,003 660,010 330,005 990,016 495,008 247,504 123,752 61,876 30,938 15,469 46,408 23,204 11,602 5,801 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655

More profiles

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