λ
Harmonic Matrix

2,204,221

2204221
Deficient Odd Prime

2,204,221 has digital root 4. The neighboring primes are 2204207 and 2204243; its proper-divisor sum differs from the starting integer by -2,204,220.

Prime Factor Structure

Factorization String 2204221
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,204,222
Proper Divisor Sum 1
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2204207 ← → #2204243

Radix Representation

Decimal 2204221
Binary 1000011010001000111101 (22 bits)
Octal 0o10321075
Hexadecimal 0x21A23D

Divisor Catalog (2)

1 2,204,221

Collatz Trajectory (73 steps to reach 1)

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

2,204,221 6,612,664 3,306,332 1,653,166 826,583 2,479,750 1,239,875 3,719,626 1,859,813 5,579,440 2,789,720 1,394,860 697,430 348,715 1,046,146 523,073 1,569,220 784,610 392,305 1,176,916 588,458 294,229 882,688 441,344 220,672 110,336 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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