λ
Harmonic Matrix

5,947,706

2 × 41 × 72533
Deficient Even Composite

5,947,706 has digital root 2. The neighboring primes are 5947699 and 5947723; its proper-divisor sum differs from the starting integer by -2,756,128.

Prime Factor Structure

Factorization String 2 × 41 × 72533
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,139,284
Proper Divisor Sum 3,191,578
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5947699 ← → #5947723

Radix Representation

Decimal 5947706
Binary 10110101100000100111010 (23 bits)
Octal 0o26540472
Hexadecimal 0x5AC13A

Divisor Catalog (8)

1 2 41 82 72,533 145,066 2,973,853 5,947,706

Collatz Trajectory (165 steps to reach 1)

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

5,947,706 2,973,853 8,921,560 4,460,780 2,230,390 1,115,195 3,345,586 1,672,793 5,018,380 2,509,190 1,254,595 3,763,786 1,881,893 5,645,680 2,822,840 1,411,420 705,710 352,855 1,058,566 529,283 1,587,850 793,925 2,381,776 1,190,888 595,444 297,722 148,861 446,584 223,292 111,646 55,823 167,470 83,735 251,206 125,603 376,810 188,405 565,216 282,608 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354

More profiles

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