λ
Harmonic Matrix

8,296,007

67 × 123821
Deficient Odd Composite

8,296,007 has digital root 5. The neighboring primes are 8295977 and 8296069; its proper-divisor sum differs from the starting integer by -8,172,118.

Prime Factor Structure

Factorization String 67 × 123821
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,419,896
Proper Divisor Sum 123,889
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8295977 ← → #8296069

Radix Representation

Decimal 8296007
Binary 11111101001011001000111 (23 bits)
Octal 0o37513107
Hexadecimal 0x7E9647

Divisor Catalog (4)

1 67 123,821 8,296,007

Collatz Trajectory (160 steps to reach 1)

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

8,296,007 24,888,022 12,444,011 37,332,034 18,666,017 55,998,052 27,999,026 13,999,513 41,998,540 20,999,270 10,499,635 31,498,906 15,749,453 47,248,360 23,624,180 11,812,090 5,906,045 17,718,136 8,859,068 4,429,534 2,214,767 6,644,302 3,322,151 9,966,454 4,983,227 14,949,682 7,474,841 22,424,524 11,212,262 5,606,131 16,818,394 8,409,197 25,227,592 12,613,796 6,306,898 3,153,449 9,460,348 4,730,174 2,365,087 7,095,262 3,547,631 10,642,894 5,321,447 15,964,342 7,982,171 23,946,514 11,973,257 35,919,772 17,959,886 8,979,943 26,939,830 13,469,915 40,409,746 20,204,873 60,614,620 30,307,310 15,153,655 45,460,966 22,730,483 68,191,450

More profiles

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