λ
Harmonic Matrix

7,215,947

1307 × 5521
Deficient Odd Composite

7,215,947 has digital root 8. The neighboring primes are 7215941 and 7215961; its proper-divisor sum differs from the starting integer by -7,209,118.

Prime Factor Structure

Factorization String 1307 × 5521
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,222,776
Proper Divisor Sum 6,829
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7215941 ← → #7215961

Radix Representation

Decimal 7215947
Binary 11011100001101101001011 (23 bits)
Octal 0o33415513
Hexadecimal 0x6E1B4B

Divisor Catalog (4)

1 1,307 5,521 7,215,947

Collatz Trajectory (297 steps to reach 1)

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

7,215,947 21,647,842 10,823,921 32,471,764 16,235,882 8,117,941 24,353,824 12,176,912 6,088,456 3,044,228 1,522,114 761,057 2,283,172 1,141,586 570,793 1,712,380 856,190 428,095 1,284,286 642,143 1,926,430 963,215 2,889,646 1,444,823 4,334,470 2,167,235 6,501,706 3,250,853 9,752,560 4,876,280 2,438,140 1,219,070 609,535 1,828,606 914,303 2,742,910 1,371,455 4,114,366 2,057,183 6,171,550 3,085,775 9,257,326 4,628,663 13,885,990 6,942,995 20,828,986 10,414,493 31,243,480 15,621,740 7,810,870 3,905,435 11,716,306 5,858,153 17,574,460 8,787,230 4,393,615 13,180,846 6,590,423 19,771,270 9,885,635

More profiles

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