λ
Prime Ledger

1,648,412

22 × 103 × 4001
Deficient Even Composite

1,648,412 has the prime decomposition 2^2 × 103 × 4001. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 103 × 4001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,913,456
Proper Divisor Sum 1,265,044
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1648391 ← → #1648417

Radix Representation

Decimal 1648412
Binary 110010010011100011100 (21 bits)
Octal 0o6223434
Hexadecimal 0x19271C

Divisor Catalog (12)

1 2 4 103 206 412 4,001 8,002 16,004 412,103 824,206 1,648,412

Collatz Trajectory (145 steps to reach 1)

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

1,648,412 824,206 412,103 1,236,310 618,155 1,854,466 927,233 2,781,700 1,390,850 695,425 2,086,276 1,043,138 521,569 1,564,708 782,354 391,177 1,173,532 586,766 293,383 880,150 440,075 1,320,226 660,113 1,980,340 990,170 495,085 1,485,256 742,628 371,314 185,657 556,972 278,486 139,243 417,730 208,865 626,596 313,298 156,649 469,948 234,974 117,487 352,462 176,231 528,694 264,347 793,042 396,521 1,189,564 594,782 297,391 892,174 446,087 1,338,262 669,131 2,007,394 1,003,697 3,011,092 1,505,546 752,773 2,258,320

More profiles

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