λ
Harmonic Matrix

4,290,146

2 × 72 × 43777
Deficient Even Composite

4,290,146 has digital root 8. The neighboring primes are 4290133 and 4290151; its proper-divisor sum differs from the starting integer by -1,094,254.

Prime Factor Structure

Factorization String 2 × 7^2 × 43777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,486,038
Proper Divisor Sum 3,195,892
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4290133 ← → #4290151

Radix Representation

Decimal 4290146
Binary 10000010111011001100010 (23 bits)
Octal 0o20273142
Hexadecimal 0x417662

Divisor Catalog (12)

1 2 7 14 49 98 43,777 87,554 306,439 612,878 2,145,073 4,290,146

Collatz Trajectory (149 steps to reach 1)

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

4,290,146 2,145,073 6,435,220 3,217,610 1,608,805 4,826,416 2,413,208 1,206,604 603,302 301,651 904,954 452,477 1,357,432 678,716 339,358 169,679 509,038 254,519 763,558 381,779 1,145,338 572,669 1,718,008 859,004 429,502 214,751 644,254 322,127 966,382 483,191 1,449,574 724,787 2,174,362 1,087,181 3,261,544 1,630,772 815,386 407,693 1,223,080 611,540 305,770 152,885 458,656 229,328 114,664 57,332 28,666 14,333 43,000 21,500 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215

More profiles

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