λ
Harmonic Matrix

697,065

3 × 5 × 46471
Deficient Odd Composite

697,065 has digital root 6. The neighboring primes are 697063 and 697069; its proper-divisor sum differs from the starting integer by -278,802.

Prime Factor Structure

Factorization String 3 × 5 × 46471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,115,328
Proper Divisor Sum 418,263
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #697063 ← → #697069

Radix Representation

Decimal 697065
Binary 10101010001011101001 (20 bits)
Octal 0o2521351
Hexadecimal 0xAA2E9

Divisor Catalog (8)

1 3 5 15 46,471 139,413 232,355 697,065

Collatz Trajectory (136 steps to reach 1)

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

697,065 2,091,196 1,045,598 522,799 1,568,398 784,199 2,352,598 1,176,299 3,528,898 1,764,449 5,293,348 2,646,674 1,323,337 3,970,012 1,985,006 992,503 2,977,510 1,488,755 4,466,266 2,233,133 6,699,400 3,349,700 1,674,850 837,425 2,512,276 1,256,138 628,069 1,884,208 942,104 471,052 235,526 117,763 353,290 176,645 529,936 264,968 132,484 66,242 33,121 99,364 49,682 24,841 74,524 37,262 18,631 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530

More profiles

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