λ
Harmonic Matrix

2,387,162

2 × 71 × 16811
Deficient Even Composite

2,387,162 has digital root 2. The neighboring primes are 2387149 and 2387167; its proper-divisor sum differs from the starting integer by -1,142,932.

Prime Factor Structure

Factorization String 2 × 71 × 16811
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,631,392
Proper Divisor Sum 1,244,230
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2387149 ← → #2387167

Radix Representation

Decimal 2387162
Binary 1001000110110011011010 (22 bits)
Octal 0o11066332
Hexadecimal 0x246CDA

Divisor Catalog (8)

1 2 71 142 16,811 33,622 1,193,581 2,387,162

Collatz Trajectory (192 steps to reach 1)

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

2,387,162 1,193,581 3,580,744 1,790,372 895,186 447,593 1,342,780 671,390 335,695 1,007,086 503,543 1,510,630 755,315 2,265,946 1,132,973 3,398,920 1,699,460 849,730 424,865 1,274,596 637,298 318,649 955,948 477,974 238,987 716,962 358,481 1,075,444 537,722 268,861 806,584 403,292 201,646 100,823 302,470 151,235 453,706 226,853 680,560 340,280 170,140 85,070 42,535 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752 40,376 20,188 10,094 5,047 15,142

More profiles

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