λ
Harmonic Matrix

1,221,214

2 × 31 × 19697
Deficient Even Composite

1,221,214 has digital root 4. The neighboring primes are 1221197 and 1221221; its proper-divisor sum differs from the starting integer by -551,420.

Prime Factor Structure

Factorization String 2 × 31 × 19697
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,891,008
Proper Divisor Sum 669,794
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1221197 ← → #1221221

Radix Representation

Decimal 1221214
Binary 100101010001001011110 (21 bits)
Octal 0o4521136
Hexadecimal 0x12A25E

Divisor Catalog (8)

1 2 31 62 19,697 39,394 610,607 1,221,214

Collatz Trajectory (173 steps to reach 1)

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

1,221,214 610,607 1,831,822 915,911 2,747,734 1,373,867 4,121,602 2,060,801 6,182,404 3,091,202 1,545,601 4,636,804 2,318,402 1,159,201 3,477,604 1,738,802 869,401 2,608,204 1,304,102 652,051 1,956,154 978,077 2,934,232 1,467,116 733,558 366,779 1,100,338 550,169 1,650,508 825,254 412,627 1,237,882 618,941 1,856,824 928,412 464,206 232,103 696,310 348,155 1,044,466 522,233 1,566,700 783,350 391,675 1,175,026 587,513 1,762,540 881,270 440,635 1,321,906 660,953 1,982,860 991,430 495,715 1,487,146 743,573 2,230,720 1,115,360 557,680 278,840

More profiles

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