λ
Harmonic Matrix

4,126,622

2 × 743 × 2777
Deficient Even Composite

4,126,622 has digital root 5. The neighboring primes are 4126621 and 4126651; its proper-divisor sum differs from the starting integer by -2,052,748.

Prime Factor Structure

Factorization String 2 × 743 × 2777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,200,496
Proper Divisor Sum 2,073,874
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4126621 ← → #4126651

Radix Representation

Decimal 4126622
Binary 1111101111011110011110 (22 bits)
Octal 0o17573636
Hexadecimal 0x3EF79E

Divisor Catalog (8)

1 2 743 1,486 2,777 5,554 2,063,311 4,126,622

Collatz Trajectory (167 steps to reach 1)

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

4,126,622 2,063,311 6,189,934 3,094,967 9,284,902 4,642,451 13,927,354 6,963,677 20,891,032 10,445,516 5,222,758 2,611,379 7,834,138 3,917,069 11,751,208 5,875,604 2,937,802 1,468,901 4,406,704 2,203,352 1,101,676 550,838 275,419 826,258 413,129 1,239,388 619,694 309,847 929,542 464,771 1,394,314 697,157 2,091,472 1,045,736 522,868 261,434 130,717 392,152 196,076 98,038 49,019 147,058 73,529 220,588 110,294 55,147 165,442 82,721 248,164 124,082 62,041 186,124 93,062 46,531 139,594 69,797 209,392 104,696 52,348 26,174

More profiles

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