λ
Harmonic Matrix

4,010,631

3 × 1336877
Deficient Odd Composite

4,010,631 has digital root 6. The neighboring primes are 4010627 and 4010639; its proper-divisor sum differs from the starting integer by -2,673,750.

Prime Factor Structure

Factorization String 3 × 1336877
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,347,512
Proper Divisor Sum 1,336,881
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4010627 ← → #4010639

Radix Representation

Decimal 4010631
Binary 1111010011001010000111 (22 bits)
Octal 0o17231207
Hexadecimal 0x3D3287

Divisor Catalog (4)

1 3 1,336,877 4,010,631

Collatz Trajectory (185 steps to reach 1)

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

4,010,631 12,031,894 6,015,947 18,047,842 9,023,921 27,071,764 13,535,882 6,767,941 20,303,824 10,151,912 5,075,956 2,537,978 1,268,989 3,806,968 1,903,484 951,742 475,871 1,427,614 713,807 2,141,422 1,070,711 3,212,134 1,606,067 4,818,202 2,409,101 7,227,304 3,613,652 1,806,826 903,413 2,710,240 1,355,120 677,560 338,780 169,390 84,695 254,086 127,043 381,130 190,565 571,696 285,848 142,924 71,462 35,731 107,194 53,597 160,792 80,396 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240

More profiles

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