λ
Harmonic Matrix

8,337,396

22 × 3 × 694783
Abundant Even Composite

8,337,396 has digital root 3. The neighboring primes are 8337383 and 8337421; its proper-divisor sum differs from the starting integer by 2,779,160.

Prime Factor Structure

Factorization String 2^2 × 3 × 694783
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 19,453,952
Proper Divisor Sum 11,116,556
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8337383 ← → #8337421

Radix Representation

Decimal 8337396
Binary 11111110011011111110100 (23 bits)
Octal 0o37633764
Hexadecimal 0x7F37F4

Divisor Catalog (12)

1 2 3 4 6 12 694,783 1,389,566 2,084,349 2,779,132 4,168,698 8,337,396

Collatz Trajectory (274 steps to reach 1)

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

8,337,396 4,168,698 2,084,349 6,253,048 3,126,524 1,563,262 781,631 2,344,894 1,172,447 3,517,342 1,758,671 5,276,014 2,638,007 7,914,022 3,957,011 11,871,034 5,935,517 17,806,552 8,903,276 4,451,638 2,225,819 6,677,458 3,338,729 10,016,188 5,008,094 2,504,047 7,512,142 3,756,071 11,268,214 5,634,107 16,902,322 8,451,161 25,353,484 12,676,742 6,338,371 19,015,114 9,507,557 28,522,672 14,261,336 7,130,668 3,565,334 1,782,667 5,348,002 2,674,001 8,022,004 4,011,002 2,005,501 6,016,504 3,008,252 1,504,126 752,063 2,256,190 1,128,095 3,384,286 1,692,143 5,076,430 2,538,215 7,614,646 3,807,323 11,421,970

More profiles

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