λ
Harmonic Matrix

1,325,981

41 × 32341
Deficient Odd Composite

1,325,981 has digital root 2. The neighboring primes are 1325977 and 1325993; its proper-divisor sum differs from the starting integer by -1,293,598.

Prime Factor Structure

Factorization String 41 × 32341
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,358,364
Proper Divisor Sum 32,383
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1325977 ← → #1325993

Radix Representation

Decimal 1325981
Binary 101000011101110011101 (21 bits)
Octal 0o5035635
Hexadecimal 0x143B9D

Divisor Catalog (4)

1 41 32,341 1,325,981

Collatz Trajectory (168 steps to reach 1)

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

1,325,981 3,977,944 1,988,972 994,486 497,243 1,491,730 745,865 2,237,596 1,118,798 559,399 1,678,198 839,099 2,517,298 1,258,649 3,775,948 1,887,974 943,987 2,831,962 1,415,981 4,247,944 2,123,972 1,061,986 530,993 1,592,980 796,490 398,245 1,194,736 597,368 298,684 149,342 74,671 224,014 112,007 336,022 168,011 504,034 252,017 756,052 378,026 189,013 567,040 283,520 141,760 70,880 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414

More profiles

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