λ
Harmonic Matrix

7,002,322

2 × 1303 × 2687
Deficient Even Composite

7,002,322 has digital root 7. The neighboring primes are 7002319 and 7002337; its proper-divisor sum differs from the starting integer by -3,489,188.

Prime Factor Structure

Factorization String 2 × 1303 × 2687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,515,456
Proper Divisor Sum 3,513,134
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #7002319 ← → #7002337

Radix Representation

Decimal 7002322
Binary 11010101101100011010010 (23 bits)
Octal 0o32554322
Hexadecimal 0x6AD8D2

Divisor Catalog (8)

1 2 1,303 2,606 2,687 5,374 3,501,161 7,002,322

Collatz Trajectory (191 steps to reach 1)

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

7,002,322 3,501,161 10,503,484 5,251,742 2,625,871 7,877,614 3,938,807 11,816,422 5,908,211 17,724,634 8,862,317 26,586,952 13,293,476 6,646,738 3,323,369 9,970,108 4,985,054 2,492,527 7,477,582 3,738,791 11,216,374 5,608,187 16,824,562 8,412,281 25,236,844 12,618,422 6,309,211 18,927,634 9,463,817 28,391,452 14,195,726 7,097,863 21,293,590 10,646,795 31,940,386 15,970,193 47,910,580 23,955,290 11,977,645 35,932,936 17,966,468 8,983,234 4,491,617 13,474,852 6,737,426 3,368,713 10,106,140 5,053,070 2,526,535 7,579,606 3,789,803 11,369,410 5,684,705 17,054,116 8,527,058 4,263,529 12,790,588 6,395,294 3,197,647 9,592,942

More profiles

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