λ
Harmonic Matrix

7,213,449

3 × 2404483
Deficient Odd Composite

7,213,449 has digital root 3. The neighboring primes are 7213441 and 7213469; its proper-divisor sum differs from the starting integer by -4,808,962.

Prime Factor Structure

Factorization String 3 × 2404483
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,617,936
Proper Divisor Sum 2,404,487
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7213441 ← → #7213469

Radix Representation

Decimal 7213449
Binary 11011100001000110001001 (23 bits)
Octal 0o33410611
Hexadecimal 0x6E1189

Divisor Catalog (4)

1 3 2,404,483 7,213,449

Collatz Trajectory (253 steps to reach 1)

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

7,213,449 21,640,348 10,820,174 5,410,087 16,230,262 8,115,131 24,345,394 12,172,697 36,518,092 18,259,046 9,129,523 27,388,570 13,694,285 41,082,856 20,541,428 10,270,714 5,135,357 15,406,072 7,703,036 3,851,518 1,925,759 5,777,278 2,888,639 8,665,918 4,332,959 12,998,878 6,499,439 19,498,318 9,749,159 29,247,478 14,623,739 43,871,218 21,935,609 65,806,828 32,903,414 16,451,707 49,355,122 24,677,561 74,032,684 37,016,342 18,508,171 55,524,514 27,762,257 83,286,772 41,643,386 20,821,693 62,465,080 31,232,540 15,616,270 7,808,135 23,424,406 11,712,203 35,136,610 17,568,305 52,704,916 26,352,458 13,176,229 39,528,688 19,764,344 9,882,172

More profiles

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