λ
Harmonic Matrix

5,871,024

24 × 32 × 40771
Abundant Even Composite

5,871,024 has digital root 9. The neighboring primes are 5871023 and 5871037; its proper-divisor sum differs from the starting integer by 4,689,068.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 40771
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 16,431,116
Proper Divisor Sum 10,560,092
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5871023 ← → #5871037

Radix Representation

Decimal 5871024
Binary 10110011001010110110000 (23 bits)
Octal 0o26312660
Hexadecimal 0x5995B0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 40,771 81,542 122,313 163,084 244,626 326,168 366,939 489,252 652,336 733,878 978,504 1,467,756 1,957,008 2,935,512 5,871,024

Collatz Trajectory (245 steps to reach 1)

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

5,871,024 2,935,512 1,467,756 733,878 366,939 1,100,818 550,409 1,651,228 825,614 412,807 1,238,422 619,211 1,857,634 928,817 2,786,452 1,393,226 696,613 2,089,840 1,044,920 522,460 261,230 130,615 391,846 195,923 587,770 293,885 881,656 440,828 220,414 110,207 330,622 165,311 495,934 247,967 743,902 371,951 1,115,854 557,927 1,673,782 836,891 2,510,674 1,255,337 3,766,012 1,883,006 941,503 2,824,510 1,412,255 4,236,766 2,118,383 6,355,150 3,177,575 9,532,726 4,766,363 14,299,090 7,149,545 21,448,636 10,724,318 5,362,159 16,086,478 8,043,239

More profiles

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