λ
Harmonic Matrix

3,974,438

2 × 13 × 71 × 2153
Deficient Even Composite

3,974,438 has digital root 2. The neighboring primes are 3974437 and 3974441; its proper-divisor sum differs from the starting integer by -1,435,180.

Prime Factor Structure

Factorization String 2 × 13 × 71 × 2153
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,513,696
Proper Divisor Sum 2,539,258
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3974437 ← → #3974441

Radix Representation

Decimal 3974438
Binary 1111001010010100100110 (22 bits)
Octal 0o17122446
Hexadecimal 0x3CA526

Divisor Catalog (16)

1 2 13 26 71 142 923 1,846 2,153 4,306 27,989 55,978 152,863 305,726 1,987,219 3,974,438

Collatz Trajectory (123 steps to reach 1)

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

3,974,438 1,987,219 5,961,658 2,980,829 8,942,488 4,471,244 2,235,622 1,117,811 3,353,434 1,676,717 5,030,152 2,515,076 1,257,538 628,769 1,886,308 943,154 471,577 1,414,732 707,366 353,683 1,061,050 530,525 1,591,576 795,788 397,894 198,947 596,842 298,421 895,264 447,632 223,816 111,908 55,954 27,977 83,932 41,966 20,983 62,950 31,475 94,426 47,213 141,640 70,820 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211

More profiles

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