λ
Harmonic Matrix

2,968,414

2 × 1484207
Deficient Even Composite

2,968,414 has digital root 7. The neighboring primes are 2968409 and 2968447; its proper-divisor sum differs from the starting integer by -1,484,204.

Prime Factor Structure

Factorization String 2 × 1484207
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,452,624
Proper Divisor Sum 1,484,210
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2968409 ← → #2968447

Radix Representation

Decimal 2968414
Binary 1011010100101101011110 (22 bits)
Octal 0o13245536
Hexadecimal 0x2D4B5E

Divisor Catalog (4)

1 2 1,484,207 2,968,414

Collatz Trajectory (288 steps to reach 1)

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

2,968,414 1,484,207 4,452,622 2,226,311 6,678,934 3,339,467 10,018,402 5,009,201 15,027,604 7,513,802 3,756,901 11,270,704 5,635,352 2,817,676 1,408,838 704,419 2,113,258 1,056,629 3,169,888 1,584,944 792,472 396,236 198,118 99,059 297,178 148,589 445,768 222,884 111,442 55,721 167,164 83,582 41,791 125,374 62,687 188,062 94,031 282,094 141,047 423,142 211,571 634,714 317,357 952,072 476,036 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806

More profiles

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