λ
Harmonic Matrix

5,960,412

22 × 33 × 229 × 241
Abundant Even Composite

5,960,412 has digital root 9. The neighboring primes are 5960389 and 5960413; its proper-divisor sum differs from the starting integer by 3,663,976.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 229 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,584,800
Proper Divisor Sum 9,624,388
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5960389 ← → #5960413

Radix Representation

Decimal 5960412
Binary 10110101111001011011100 (23 bits)
Octal 0o26571334
Hexadecimal 0x5AF2DC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 229 241 458 482 687 723 916 964 1,374 1,446 2,061 2,169 2,748 2,892 4,122 4,338 6,183 6,507 8,244 8,676 12,366 13,014 24,732 26,028 55,189 110,378 165,567 220,756 331,134 496,701 662,268 993,402 1,490,103 1,986,804 2,980,206 5,960,412

Collatz Trajectory (121 steps to reach 1)

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

5,960,412 2,980,206 1,490,103 4,470,310 2,235,155 6,705,466 3,352,733 10,058,200 5,029,100 2,514,550 1,257,275 3,771,826 1,885,913 5,657,740 2,828,870 1,414,435 4,243,306 2,121,653 6,364,960 3,182,480 1,591,240 795,620 397,810 198,905 596,716 298,358 149,179 447,538 223,769 671,308 335,654 167,827 503,482 251,741 755,224 377,612 188,806 94,403 283,210 141,605 424,816 212,408 106,204 53,102 26,551 79,654 39,827 119,482 59,741 179,224 89,612 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301

More profiles

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