λ
Harmonic Matrix

5,304,364

22 × 13 × 83 × 1229
Deficient Even Composite

5,304,364 has digital root 7. The neighboring primes are 5304359 and 5304367; its proper-divisor sum differs from the starting integer by -483,368.

Prime Factor Structure

Factorization String 2^2 × 13 × 83 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,125,360
Proper Divisor Sum 4,820,996
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5304359 ← → #5304367

Radix Representation

Decimal 5304364
Binary 10100001111000000101100 (23 bits)
Octal 0o24170054
Hexadecimal 0x50F02C

Divisor Catalog (24)

1 2 4 13 26 52 83 166 332 1,079 1,229 2,158 2,458 4,316 4,916 15,977 31,954 63,908 102,007 204,014 408,028 1,326,091 2,652,182 5,304,364

Collatz Trajectory (126 steps to reach 1)

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

5,304,364 2,652,182 1,326,091 3,978,274 1,989,137 5,967,412 2,983,706 1,491,853 4,475,560 2,237,780 1,118,890 559,445 1,678,336 839,168 419,584 209,792 104,896 52,448 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615

More profiles

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