λ
Harmonic Matrix

1,221,026

2 × 181 × 3373
Deficient Even Composite

1,221,026 has digital root 5. The neighboring primes are 1221019 and 1221029; its proper-divisor sum differs from the starting integer by -599,848.

Prime Factor Structure

Factorization String 2 × 181 × 3373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,842,204
Proper Divisor Sum 621,178
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1221019 ← → #1221029

Radix Representation

Decimal 1221026
Binary 100101010000110100010 (21 bits)
Octal 0o4520642
Hexadecimal 0x12A1A2

Divisor Catalog (8)

1 2 181 362 3,373 6,746 610,513 1,221,026

Collatz Trajectory (59 steps to reach 1)

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

1,221,026 610,513 1,831,540 915,770 457,885 1,373,656 686,828 343,414 171,707 515,122 257,561 772,684 386,342 193,171 579,514 289,757 869,272 434,636 217,318 108,659 325,978 162,989 488,968 244,484 122,242 61,121 183,364 91,682 45,841 137,524 68,762 34,381 103,144 51,572 25,786 12,893 38,680 19,340 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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