λ
Harmonic Matrix

7,079,805

35 × 5 × 5827
Deficient Odd Composite

7,079,805 has digital root 9. The neighboring primes are 7079783 and 7079833; its proper-divisor sum differs from the starting integer by -1,431,258.

Prime Factor Structure

Factorization String 3^5 × 5 × 5827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,728,352
Proper Divisor Sum 5,648,547
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7079783 ← → #7079833

Radix Representation

Decimal 7079805
Binary 11011000000011101111101 (23 bits)
Octal 0o33003575
Hexadecimal 0x6C077D

Divisor Catalog (24)

1 3 5 9 15 27 45 81 135 243 405 1,215 5,827 17,481 29,135 52,443 87,405 157,329 262,215 471,987 786,645 1,415,961 2,359,935 7,079,805

Collatz Trajectory (191 steps to reach 1)

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

7,079,805 21,239,416 10,619,708 5,309,854 2,654,927 7,964,782 3,982,391 11,947,174 5,973,587 17,920,762 8,960,381 26,881,144 13,440,572 6,720,286 3,360,143 10,080,430 5,040,215 15,120,646 7,560,323 22,680,970 11,340,485 34,021,456 17,010,728 8,505,364 4,252,682 2,126,341 6,379,024 3,189,512 1,594,756 797,378 398,689 1,196,068 598,034 299,017 897,052 448,526 224,263 672,790 336,395 1,009,186 504,593 1,513,780 756,890 378,445 1,135,336 567,668 283,834 141,917 425,752 212,876 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484

More profiles

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