λ
Harmonic Matrix

2,695,391

2695391
Deficient Odd Prime

2,695,391 has digital root 8. The neighboring primes are 2695351 and 2695409; its proper-divisor sum differs from the starting integer by -2,695,390.

Prime Factor Structure

Factorization String 2695391
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,695,392
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2695351 ← → #2695409

Radix Representation

Decimal 2695391
Binary 1010010010000011011111 (22 bits)
Octal 0o12220337
Hexadecimal 0x2920DF

Divisor Catalog (2)

Collatz Trajectory (293 steps to reach 1)

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

2,695,391 8,086,174 4,043,087 12,129,262 6,064,631 18,193,894 9,096,947 27,290,842 13,645,421 40,936,264 20,468,132 10,234,066 5,117,033 15,351,100 7,675,550 3,837,775 11,513,326 5,756,663 17,269,990 8,634,995 25,904,986 12,952,493 38,857,480 19,428,740 9,714,370 4,857,185 14,571,556 7,285,778 3,642,889 10,928,668 5,464,334 2,732,167 8,196,502 4,098,251 12,294,754 6,147,377 18,442,132 9,221,066 4,610,533 13,831,600 6,915,800 3,457,900 1,728,950 864,475 2,593,426 1,296,713 3,890,140 1,945,070 972,535 2,917,606 1,458,803 4,376,410 2,188,205 6,564,616 3,282,308 1,641,154 820,577 2,461,732 1,230,866 615,433

More profiles

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