λ
Harmonic Matrix

5,655,307

7 × 807901
Deficient Odd Composite

5,655,307 has digital root 4. The neighboring primes are 5655301 and 5655313; its proper-divisor sum differs from the starting integer by -4,847,398.

Prime Factor Structure

Factorization String 7 × 807901
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,463,216
Proper Divisor Sum 807,909
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5655301 ← → #5655313

Radix Representation

Decimal 5655307
Binary 10101100100101100001011 (23 bits)
Octal 0o25445413
Hexadecimal 0x564B0B

Divisor Catalog (4)

1 7 807,901 5,655,307

Collatz Trajectory (307 steps to reach 1)

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

5,655,307 16,965,922 8,482,961 25,448,884 12,724,442 6,362,221 19,086,664 9,543,332 4,771,666 2,385,833 7,157,500 3,578,750 1,789,375 5,368,126 2,684,063 8,052,190 4,026,095 12,078,286 6,039,143 18,117,430 9,058,715 27,176,146 13,588,073 40,764,220 20,382,110 10,191,055 30,573,166 15,286,583 45,859,750 22,929,875 68,789,626 34,394,813 103,184,440 51,592,220 25,796,110 12,898,055 38,694,166 19,347,083 58,041,250 29,020,625 87,061,876 43,530,938 21,765,469 65,296,408 32,648,204 16,324,102 8,162,051 24,486,154 12,243,077 36,729,232 18,364,616 9,182,308 4,591,154 2,295,577 6,886,732 3,443,366 1,721,683 5,165,050 2,582,525 7,747,576

More profiles

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