λ
Harmonic Matrix

2,409,213

3 × 337 × 2383
Deficient Odd Composite

2,409,213 has digital root 3. The neighboring primes are 2409203 and 2409217; its proper-divisor sum differs from the starting integer by -1,595,258.

Prime Factor Structure

Factorization String 3 × 337 × 2383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,223,168
Proper Divisor Sum 813,955
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2409203 ← → #2409217

Radix Representation

Decimal 2409213
Binary 1001001100001011111101 (22 bits)
Octal 0o11141375
Hexadecimal 0x24C2FD

Divisor Catalog (8)

1 3 337 1,011 2,383 7,149 803,071 2,409,213

Collatz Trajectory (205 steps to reach 1)

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

2,409,213 7,227,640 3,613,820 1,806,910 903,455 2,710,366 1,355,183 4,065,550 2,032,775 6,098,326 3,049,163 9,147,490 4,573,745 13,721,236 6,860,618 3,430,309 10,290,928 5,145,464 2,572,732 1,286,366 643,183 1,929,550 964,775 2,894,326 1,447,163 4,341,490 2,170,745 6,512,236 3,256,118 1,628,059 4,884,178 2,442,089 7,326,268 3,663,134 1,831,567 5,494,702 2,747,351 8,242,054 4,121,027 12,363,082 6,181,541 18,544,624 9,272,312 4,636,156 2,318,078 1,159,039 3,477,118 1,738,559 5,215,678 2,607,839 7,823,518 3,911,759 11,735,278 5,867,639 17,602,918 8,801,459 26,404,378 13,202,189 39,606,568 19,803,284

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