λ
Harmonic Matrix

612,406

2 × 43 × 7121
Deficient Even Composite

612,406 has digital root 1. The neighboring primes are 612401 and 612407; its proper-divisor sum differs from the starting integer by -284,708.

Prime Factor Structure

Factorization String 2 × 43 × 7121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 940,104
Proper Divisor Sum 327,698
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #612401 ← → #612407

Radix Representation

Decimal 612406
Binary 10010101100000110110 (20 bits)
Octal 0o2254066
Hexadecimal 0x95836

Divisor Catalog (8)

1 2 43 86 7,121 14,242 306,203 612,406

Collatz Trajectory (216 steps to reach 1)

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

612,406 306,203 918,610 459,305 1,377,916 688,958 344,479 1,033,438 516,719 1,550,158 775,079 2,325,238 1,162,619 3,487,858 1,743,929 5,231,788 2,615,894 1,307,947 3,923,842 1,961,921 5,885,764 2,942,882 1,471,441 4,414,324 2,207,162 1,103,581 3,310,744 1,655,372 827,686 413,843 1,241,530 620,765 1,862,296 931,148 465,574 232,787 698,362 349,181 1,047,544 523,772 261,886 130,943 392,830 196,415 589,246 294,623 883,870 441,935 1,325,806 662,903 1,988,710 994,355 2,983,066 1,491,533 4,474,600 2,237,300 1,118,650 559,325 1,677,976 838,988

More profiles

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