λ
Harmonic Matrix

2,342,463

3 × 151 × 5171
Deficient Odd Composite

2,342,463 has digital root 6. The neighboring primes are 2342443 and 2342479; its proper-divisor sum differs from the starting integer by -1,540,350.

Prime Factor Structure

Factorization String 3 × 151 × 5171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,144,576
Proper Divisor Sum 802,113
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2342443 ← → #2342479

Radix Representation

Decimal 2342463
Binary 1000111011111000111111 (22 bits)
Octal 0o10737077
Hexadecimal 0x23BE3F

Divisor Catalog (8)

1 3 151 453 5,171 15,513 780,821 2,342,463

Collatz Trajectory (192 steps to reach 1)

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

2,342,463 7,027,390 3,513,695 10,541,086 5,270,543 15,811,630 7,905,815 23,717,446 11,858,723 35,576,170 17,788,085 53,364,256 26,682,128 13,341,064 6,670,532 3,335,266 1,667,633 5,002,900 2,501,450 1,250,725 3,752,176 1,876,088 938,044 469,022 234,511 703,534 351,767 1,055,302 527,651 1,582,954 791,477 2,374,432 1,187,216 593,608 296,804 148,402 74,201 222,604 111,302 55,651 166,954 83,477 250,432 125,216 62,608 31,304 15,652 7,826 3,913 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477

More profiles

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