λ
Harmonic Matrix

1,821,421

7 × 367 × 709
Deficient Odd Composite

1,821,421 has digital root 1. The neighboring primes are 1821409 and 1821427; its proper-divisor sum differs from the starting integer by -1,552,602.

Prime Factor Structure

Factorization String 7 × 367 × 709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,090,240
Proper Divisor Sum 268,819
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1821409 ← → #1821427

Radix Representation

Decimal 1821421
Binary 110111100101011101101 (21 bits)
Octal 0o6745355
Hexadecimal 0x1BCAED

Divisor Catalog (8)

1 7 367 709 2,569 4,963 260,203 1,821,421

Collatz Trajectory (158 steps to reach 1)

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

1,821,421 5,464,264 2,732,132 1,366,066 683,033 2,049,100 1,024,550 512,275 1,536,826 768,413 2,305,240 1,152,620 576,310 288,155 864,466 432,233 1,296,700 648,350 324,175 972,526 486,263 1,458,790 729,395 2,188,186 1,094,093 3,282,280 1,641,140 820,570 410,285 1,230,856 615,428 307,714 153,857 461,572 230,786 115,393 346,180 173,090 86,545 259,636 129,818 64,909 194,728 97,364 48,682 24,341 73,024 36,512 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322

More profiles

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