λ
Harmonic Matrix

4,038,031

1543 × 2617
Deficient Odd Composite

4,038,031 has digital root 1. The neighboring primes are 4038011 and 4038043; its proper-divisor sum differs from the starting integer by -4,033,870.

Prime Factor Structure

Factorization String 1543 × 2617
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,042,192
Proper Divisor Sum 4,161
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4038011 ← → #4038043

Radix Representation

Decimal 4038031
Binary 1111011001110110001111 (22 bits)
Octal 0o17316617
Hexadecimal 0x3D9D8F

Divisor Catalog (4)

1 1,543 2,617 4,038,031

Collatz Trajectory (92 steps to reach 1)

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

4,038,031 12,114,094 6,057,047 18,171,142 9,085,571 27,256,714 13,628,357 40,885,072 20,442,536 10,221,268 5,110,634 2,555,317 7,665,952 3,832,976 1,916,488 958,244 479,122 239,561 718,684 359,342 179,671 539,014 269,507 808,522 404,261 1,212,784 606,392 303,196 151,598 75,799 227,398 113,699 341,098 170,549 511,648 255,824 127,912 63,956 31,978 15,989 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712

More profiles

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