λ
Harmonic Matrix

2,046,458

2 × 1023229
Deficient Even Composite

2,046,458 has digital root 2. The neighboring primes are 2046449 and 2046463; its proper-divisor sum differs from the starting integer by -1,023,226.

Prime Factor Structure

Factorization String 2 × 1023229
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,069,690
Proper Divisor Sum 1,023,232
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2046449 ← → #2046463

Radix Representation

Decimal 2046458
Binary 111110011100111111010 (21 bits)
Octal 0o7634772
Hexadecimal 0x1F39FA

Divisor Catalog (4)

1 2 1,023,229 2,046,458

Collatz Trajectory (228 steps to reach 1)

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

2,046,458 1,023,229 3,069,688 1,534,844 767,422 383,711 1,151,134 575,567 1,726,702 863,351 2,590,054 1,295,027 3,885,082 1,942,541 5,827,624 2,913,812 1,456,906 728,453 2,185,360 1,092,680 546,340 273,170 136,585 409,756 204,878 102,439 307,318 153,659 460,978 230,489 691,468 345,734 172,867 518,602 259,301 777,904 388,952 194,476 97,238 48,619 145,858 72,929 218,788 109,394 54,697 164,092 82,046 41,023 123,070 61,535 184,606 92,303 276,910 138,455 415,366 207,683 623,050 311,525 934,576 467,288

More profiles

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