λ
Harmonic Matrix

5,684,204

22 × 797 × 1783
Deficient Even Composite

5,684,204 has digital root 2. The neighboring primes are 5684183 and 5684209; its proper-divisor sum differs from the starting integer by -1,402,984.

Prime Factor Structure

Factorization String 2^2 × 797 × 1783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,965,424
Proper Divisor Sum 4,281,220
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5684183 ← → #5684209

Radix Representation

Decimal 5684204
Binary 10101101011101111101100 (23 bits)
Octal 0o25535754
Hexadecimal 0x56BBEC

Divisor Catalog (12)

1 2 4 797 1,594 1,783 3,188 3,566 7,132 1,421,051 2,842,102 5,684,204

Collatz Trajectory (126 steps to reach 1)

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

5,684,204 2,842,102 1,421,051 4,263,154 2,131,577 6,394,732 3,197,366 1,598,683 4,796,050 2,398,025 7,194,076 3,597,038 1,798,519 5,395,558 2,697,779 8,093,338 4,046,669 12,140,008 6,070,004 3,035,002 1,517,501 4,552,504 2,276,252 1,138,126 569,063 1,707,190 853,595 2,560,786 1,280,393 3,841,180 1,920,590 960,295 2,880,886 1,440,443 4,321,330 2,160,665 6,481,996 3,240,998 1,620,499 4,861,498 2,430,749 7,292,248 3,646,124 1,823,062 911,531 2,734,594 1,367,297 4,101,892 2,050,946 1,025,473 3,076,420 1,538,210 769,105 2,307,316 1,153,658 576,829 1,730,488 865,244 432,622 216,311

More profiles

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