λ
Harmonic Matrix

2,088,731

2088731
Deficient Odd Prime

2,088,731 has digital root 2. The neighboring primes are 2088721 and 2088733; its proper-divisor sum differs from the starting integer by -2,088,730.

Prime Factor Structure

Factorization String 2088731
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,088,732
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2088721 ← → #2088733

Radix Representation

Decimal 2088731
Binary 111111101111100011011 (21 bits)
Octal 0o7757433
Hexadecimal 0x1FDF1B

Divisor Catalog (2)

Collatz Trajectory (184 steps to reach 1)

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

2,088,731 6,266,194 3,133,097 9,399,292 4,699,646 2,349,823 7,049,470 3,524,735 10,574,206 5,287,103 15,861,310 7,930,655 23,791,966 11,895,983 35,687,950 17,843,975 53,531,926 26,765,963 80,297,890 40,148,945 120,446,836 60,223,418 30,111,709 90,335,128 45,167,564 22,583,782 11,291,891 33,875,674 16,937,837 50,813,512 25,406,756 12,703,378 6,351,689 19,055,068 9,527,534 4,763,767 14,291,302 7,145,651 21,436,954 10,718,477 32,155,432 16,077,716 8,038,858 4,019,429 12,058,288 6,029,144 3,014,572 1,507,286 753,643 2,260,930 1,130,465 3,391,396 1,695,698 847,849 2,543,548 1,271,774 635,887 1,907,662 953,831 2,861,494

More profiles

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