λ
Harmonic Matrix

4,260,138

2 × 3 × 710023
Abundant Even Composite

4,260,138 has digital root 6. The neighboring primes are 4260133 and 4260167; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 710023
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,520,288
Proper Divisor Sum 4,260,150
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4260133 ← → #4260167

Radix Representation

Decimal 4260138
Binary 10000010000000100101010 (23 bits)
Octal 0o20200452
Hexadecimal 0x41012A

Divisor Catalog (8)

1 2 3 6 710,023 1,420,046 2,130,069 4,260,138

Collatz Trajectory (97 steps to reach 1)

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

4,260,138 2,130,069 6,390,208 3,195,104 1,597,552 798,776 399,388 199,694 99,847 299,542 149,771 449,314 224,657 673,972 336,986 168,493 505,480 252,740 126,370 63,185 189,556 94,778 47,389 142,168 71,084 35,542 17,771 53,314 26,657 79,972 39,986 19,993 59,980 29,990 14,995 44,986 22,493 67,480 33,740 16,870 8,435 25,306 12,653 37,960 18,980 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034

More profiles

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