λ
Harmonic Matrix

5,982,613

7 × 13 × 29 × 2267
Deficient Odd Composite

5,982,613 has digital root 7. The neighboring primes are 5982611 and 5982637; its proper-divisor sum differs from the starting integer by -4,344,746.

Prime Factor Structure

Factorization String 7 × 13 × 29 × 2267
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,620,480
Proper Divisor Sum 1,637,867
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5982611 ← → #5982637

Radix Representation

Decimal 5982613
Binary 10110110100100110010101 (23 bits)
Octal 0o26644625
Hexadecimal 0x5B4995

Divisor Catalog (16)

1 7 13 29 91 203 377 2,267 2,639 15,869 29,471 65,743 206,297 460,201 854,659 5,982,613

Collatz Trajectory (77 steps to reach 1)

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

5,982,613 17,947,840 8,973,920 4,486,960 2,243,480 1,121,740 560,870 280,435 841,306 420,653 1,261,960 630,980 315,490 157,745 473,236 236,618 118,309 354,928 177,464 88,732 44,366 22,183 66,550 33,275 99,826 49,913 149,740 74,870 37,435 112,306 56,153 168,460 84,230 42,115 126,346 63,173 189,520 94,760 47,380 23,690 11,845 35,536 17,768 8,884 4,442 2,221 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176

More profiles

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