λ
Harmonic Matrix

2,682,357

3 × 894119
Deficient Odd Composite

2,682,357 has digital root 6. The neighboring primes are 2682347 and 2682359; its proper-divisor sum differs from the starting integer by -1,788,234.

Prime Factor Structure

Factorization String 3 × 894119
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,576,480
Proper Divisor Sum 894,123
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2682347 ← → #2682359

Radix Representation

Decimal 2682357
Binary 1010001110110111110101 (22 bits)
Octal 0o12166765
Hexadecimal 0x28EDF5

Divisor Catalog (4)

1 3 894,119 2,682,357

Collatz Trajectory (94 steps to reach 1)

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

2,682,357 8,047,072 4,023,536 2,011,768 1,005,884 502,942 251,471 754,414 377,207 1,131,622 565,811 1,697,434 848,717 2,546,152 1,273,076 636,538 318,269 954,808 477,404 238,702 119,351 358,054 179,027 537,082 268,541 805,624 402,812 201,406 100,703 302,110 151,055 453,166 226,583 679,750 339,875 1,019,626 509,813 1,529,440 764,720 382,360 191,180 95,590 47,795 143,386 71,693 215,080 107,540 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836

More profiles

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