λ
Harmonic Matrix

4,701,031

4701031
Deficient Odd Prime

4,701,031 has digital root 7. The neighboring primes are 4701029 and 4701049; its proper-divisor sum differs from the starting integer by -4,701,030.

Prime Factor Structure

Factorization String 4701031
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,701,032
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4701029 ← → #4701049

Radix Representation

Decimal 4701031
Binary 10001111011101101100111 (23 bits)
Octal 0o21735547
Hexadecimal 0x47BB67

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

4,701,031 14,103,094 7,051,547 21,154,642 10,577,321 31,731,964 15,865,982 7,932,991 23,798,974 11,899,487 35,698,462 17,849,231 53,547,694 26,773,847 80,321,542 40,160,771 120,482,314 60,241,157 180,723,472 90,361,736 45,180,868 22,590,434 11,295,217 33,885,652 16,942,826 8,471,413 25,414,240 12,707,120 6,353,560 3,176,780 1,588,390 794,195 2,382,586 1,191,293 3,573,880 1,786,940 893,470 446,735 1,340,206 670,103 2,010,310 1,005,155 3,015,466 1,507,733 4,523,200 2,261,600 1,130,800 565,400 282,700 141,350 70,675 212,026 106,013 318,040 159,020 79,510 39,755 119,266 59,633 178,900

More profiles

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