λ
Harmonic Matrix

7,102,346

2 × 3551173
Deficient Even Composite

7,102,346 has digital root 5. The neighboring primes are 7102321 and 7102349; its proper-divisor sum differs from the starting integer by -3,551,170.

Prime Factor Structure

Factorization String 2 × 3551173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,653,522
Proper Divisor Sum 3,551,176
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7102321 ← → #7102349

Radix Representation

Decimal 7102346
Binary 11011000101111110001010 (23 bits)
Octal 0o33057612
Hexadecimal 0x6C5F8A

Divisor Catalog (4)

1 2 3,551,173 7,102,346

Collatz Trajectory (191 steps to reach 1)

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

7,102,346 3,551,173 10,653,520 5,326,760 2,663,380 1,331,690 665,845 1,997,536 998,768 499,384 249,692 124,846 62,423 187,270 93,635 280,906 140,453 421,360 210,680 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252

More profiles

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