λ
Harmonic Matrix

4,133,389

13 × 109 × 2917
Deficient Odd Composite

4,133,389 has digital root 4. The neighboring primes are 4133383 and 4133401; its proper-divisor sum differs from the starting integer by -3,773,058.

Prime Factor Structure

Factorization String 13 × 109 × 2917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,493,720
Proper Divisor Sum 360,331
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4133383 ← → #4133401

Radix Representation

Decimal 4133389
Binary 1111110001001000001101 (22 bits)
Octal 0o17611015
Hexadecimal 0x3F120D

Divisor Catalog (8)

1 13 109 1,417 2,917 37,921 317,953 4,133,389

Collatz Trajectory (110 steps to reach 1)

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

4,133,389 12,400,168 6,200,084 3,100,042 1,550,021 4,650,064 2,325,032 1,162,516 581,258 290,629 871,888 435,944 217,972 108,986 54,493 163,480 81,740 40,870 20,435 61,306 30,653 91,960 45,980 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328

More profiles

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