λ
Harmonic Matrix

5,833,552

24 × 43 × 61 × 139
Abundant Even Composite

5,833,552 has digital root 4. The neighboring primes are 5833547 and 5833591; its proper-divisor sum differs from the starting integer by 172,416.

Prime Factor Structure

Factorization String 2^4 × 43 × 61 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,839,520
Proper Divisor Sum 6,005,968
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5833547 ← → #5833591

Radix Representation

Decimal 5833552
Binary 10110010000001101010000 (23 bits)
Octal 0o26201520
Hexadecimal 0x590350

Divisor Catalog (40)

1 2 4 8 16 43 61 86 122 139 172 244 278 344 488 556 688 976 1,112 2,224 2,623 5,246 5,977 8,479 10,492 11,954 16,958 20,984 23,908 33,916 41,968 47,816 67,832 95,632 135,664 364,597 729,194 1,458,388 2,916,776 5,833,552

Collatz Trajectory (139 steps to reach 1)

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

5,833,552 2,916,776 1,458,388 729,194 364,597 1,093,792 546,896 273,448 136,724 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

More profiles

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