λ
Harmonic Matrix

8,379,604

22 × 1109 × 1889
Deficient Even Composite

8,379,604 has digital root 1. The neighboring primes are 8379599 and 8379643; its proper-divisor sum differs from the starting integer by -2,073,908.

Prime Factor Structure

Factorization String 2^2 × 1109 × 1889
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,685,300
Proper Divisor Sum 6,305,696
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8379599 ← → #8379643

Radix Representation

Decimal 8379604
Binary 11111111101110011010100 (23 bits)
Octal 0o37756324
Hexadecimal 0x7FDCD4

Divisor Catalog (12)

1 2 4 1,109 1,889 2,218 3,778 4,436 7,556 2,094,901 4,189,802 8,379,604

Collatz Trajectory (62 steps to reach 1)

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

8,379,604 4,189,802 2,094,901 6,284,704 3,142,352 1,571,176 785,588 392,794 196,397 589,192 294,596 147,298 73,649 220,948 110,474 55,237 165,712 82,856 41,428 20,714 10,357 31,072 15,536 7,768 3,884 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

More profiles

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