λ
Harmonic Matrix

3,995,791

3995791
Deficient Odd Prime

3,995,791 has digital root 7. The neighboring primes are 3995779 and 3995837; its proper-divisor sum differs from the starting integer by -3,995,790.

Prime Factor Structure

Factorization String 3995791
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,995,792
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3995779 ← → #3995837

Radix Representation

Decimal 3995791
Binary 1111001111100010001111 (22 bits)
Octal 0o17174217
Hexadecimal 0x3CF88F

Divisor Catalog (2)

Collatz Trajectory (260 steps to reach 1)

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

3,995,791 11,987,374 5,993,687 17,981,062 8,990,531 26,971,594 13,485,797 40,457,392 20,228,696 10,114,348 5,057,174 2,528,587 7,585,762 3,792,881 11,378,644 5,689,322 2,844,661 8,533,984 4,266,992 2,133,496 1,066,748 533,374 266,687 800,062 400,031 1,200,094 600,047 1,800,142 900,071 2,700,214 1,350,107 4,050,322 2,025,161 6,075,484 3,037,742 1,518,871 4,556,614 2,278,307 6,834,922 3,417,461 10,252,384 5,126,192 2,563,096 1,281,548 640,774 320,387 961,162 480,581 1,441,744 720,872 360,436 180,218 90,109 270,328 135,164 67,582 33,791 101,374 50,687 152,062

More profiles

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