λ
Harmonic Matrix

5,772,133

1093 × 5281
Deficient Odd Composite

5,772,133 has digital root 1. The neighboring primes are 5772121 and 5772139; its proper-divisor sum differs from the starting integer by -5,765,758.

Prime Factor Structure

Factorization String 1093 × 5281
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,778,508
Proper Divisor Sum 6,375
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5772121 ← → #5772139

Radix Representation

Decimal 5772133
Binary 10110000001001101100101 (23 bits)
Octal 0o26011545
Hexadecimal 0x581365

Divisor Catalog (4)

1 1,093 5,281 5,772,133

Collatz Trajectory (69 steps to reach 1)

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

5,772,133 17,316,400 8,658,200 4,329,100 2,164,550 1,082,275 3,246,826 1,623,413 4,870,240 2,435,120 1,217,560 608,780 304,390 152,195 456,586 228,293 684,880 342,440 171,220 85,610 42,805 128,416 64,208 32,104 16,052 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024

More profiles

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