λ
Harmonic Matrix

1,395,871

1395871
Deficient Odd Prime

1,395,871 has digital root 7. The neighboring primes are 1395869 and 1395883; its proper-divisor sum differs from the starting integer by -1,395,870.

Prime Factor Structure

Factorization String 1395871
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,395,872
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1395869 ← → #1395883

Radix Representation

Decimal 1395871
Binary 101010100110010011111 (21 bits)
Octal 0o5246237
Hexadecimal 0x154C9F

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

1,395,871 4,187,614 2,093,807 6,281,422 3,140,711 9,422,134 4,711,067 14,133,202 7,066,601 21,199,804 10,599,902 5,299,951 15,899,854 7,949,927 23,849,782 11,924,891 35,774,674 17,887,337 53,662,012 26,831,006 13,415,503 40,246,510 20,123,255 60,369,766 30,184,883 90,554,650 45,277,325 135,831,976 67,915,988 33,957,994 16,978,997 50,936,992 25,468,496 12,734,248 6,367,124 3,183,562 1,591,781 4,775,344 2,387,672 1,193,836 596,918 298,459 895,378 447,689 1,343,068 671,534 335,767 1,007,302 503,651 1,510,954 755,477 2,266,432 1,133,216 566,608 283,304 141,652 70,826 35,413 106,240 53,120

More profiles

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