λ
Harmonic Matrix

1,621,586

2 × 193 × 4201
Deficient Even Composite

1,621,586 has digital root 2. The neighboring primes are 1621583 and 1621597; its proper-divisor sum differs from the starting integer by -797,608.

Prime Factor Structure

Factorization String 2 × 193 × 4201
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,445,564
Proper Divisor Sum 823,978
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1621583 ← → #1621597

Radix Representation

Decimal 1621586
Binary 110001011111001010010 (21 bits)
Octal 0o6137122
Hexadecimal 0x18BE52

Divisor Catalog (8)

1 2 193 386 4,201 8,402 810,793 1,621,586

Collatz Trajectory (62 steps to reach 1)

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

1,621,586 810,793 2,432,380 1,216,190 608,095 1,824,286 912,143 2,736,430 1,368,215 4,104,646 2,052,323 6,156,970 3,078,485 9,235,456 4,617,728 2,308,864 1,154,432 577,216 288,608 144,304 72,152 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8

More profiles

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