λ
Harmonic Matrix

2,838,437

7 × 405491
Deficient Odd Composite

2,838,437 has digital root 8. The neighboring primes are 2838421 and 2838443; its proper-divisor sum differs from the starting integer by -2,432,938.

Prime Factor Structure

Factorization String 7 × 405491
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,243,936
Proper Divisor Sum 405,499
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2838421 ← → #2838443

Radix Representation

Decimal 2838437
Binary 1010110100111110100101 (22 bits)
Octal 0o12647645
Hexadecimal 0x2B4FA5

Divisor Catalog (4)

1 7 405,491 2,838,437

Collatz Trajectory (200 steps to reach 1)

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

2,838,437 8,515,312 4,257,656 2,128,828 1,064,414 532,207 1,596,622 798,311 2,394,934 1,197,467 3,592,402 1,796,201 5,388,604 2,694,302 1,347,151 4,041,454 2,020,727 6,062,182 3,031,091 9,093,274 4,546,637 13,639,912 6,819,956 3,409,978 1,704,989 5,114,968 2,557,484 1,278,742 639,371 1,918,114 959,057 2,877,172 1,438,586 719,293 2,157,880 1,078,940 539,470 269,735 809,206 404,603 1,213,810 606,905 1,820,716 910,358 455,179 1,365,538 682,769 2,048,308 1,024,154 512,077 1,536,232 768,116 384,058 192,029 576,088 288,044 144,022 72,011 216,034 108,017

More profiles

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