λ
Harmonic Matrix

4,115,789

4115789
Deficient Odd Prime

4,115,789 has digital root 8. The neighboring primes are 4115779 and 4115791; its proper-divisor sum differs from the starting integer by -4,115,788.

Prime Factor Structure

Factorization String 4115789
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,115,790
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4115779 ← → #4115791

Radix Representation

Decimal 4115789
Binary 1111101100110101001101 (22 bits)
Octal 0o17546515
Hexadecimal 0x3ECD4D

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,115,789 12,347,368 6,173,684 3,086,842 1,543,421 4,630,264 2,315,132 1,157,566 578,783 1,736,350 868,175 2,604,526 1,302,263 3,906,790 1,953,395 5,860,186 2,930,093 8,790,280 4,395,140 2,197,570 1,098,785 3,296,356 1,648,178 824,089 2,472,268 1,236,134 618,067 1,854,202 927,101 2,781,304 1,390,652 695,326 347,663 1,042,990 521,495 1,564,486 782,243 2,346,730 1,173,365 3,520,096 1,760,048 880,024 440,012 220,006 110,003 330,010 165,005 495,016 247,508 123,754 61,877 185,632 92,816 46,408 23,204 11,602 5,801 17,404 8,702 4,351

More profiles

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