λ
Harmonic Matrix

7,059,782

2 × 757 × 4663
Deficient Even Composite

7,059,782 has digital root 2. The neighboring primes are 7059761 and 7059791; its proper-divisor sum differs from the starting integer by -3,513,628.

Prime Factor Structure

Factorization String 2 × 757 × 4663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,605,936
Proper Divisor Sum 3,546,154
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7059761 ← → #7059791

Radix Representation

Decimal 7059782
Binary 11010111011100101000110 (23 bits)
Octal 0o32734506
Hexadecimal 0x6BB946

Divisor Catalog (8)

1 2 757 1,514 4,663 9,326 3,529,891 7,059,782

Collatz Trajectory (129 steps to reach 1)

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

7,059,782 3,529,891 10,589,674 5,294,837 15,884,512 7,942,256 3,971,128 1,985,564 992,782 496,391 1,489,174 744,587 2,233,762 1,116,881 3,350,644 1,675,322 837,661 2,512,984 1,256,492 628,246 314,123 942,370 471,185 1,413,556 706,778 353,389 1,060,168 530,084 265,042 132,521 397,564 198,782 99,391 298,174 149,087 447,262 223,631 670,894 335,447 1,006,342 503,171 1,509,514 754,757 2,264,272 1,132,136 566,068 283,034 141,517 424,552 212,276 106,138 53,069 159,208 79,604 39,802 19,901 59,704 29,852 14,926 7,463

More profiles

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