λ
Harmonic Matrix

7,293,446

2 × 3646723
Deficient Even Composite

7,293,446 has digital root 8. The neighboring primes are 7293443 and 7293457; its proper-divisor sum differs from the starting integer by -3,646,720.

Prime Factor Structure

Factorization String 2 × 3646723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,940,172
Proper Divisor Sum 3,646,726
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7293443 ← → #7293457

Radix Representation

Decimal 7293446
Binary 11011110100101000000110 (23 bits)
Octal 0o33645006
Hexadecimal 0x6F4A06

Divisor Catalog (4)

1 2 3,646,723 7,293,446

Collatz Trajectory (85 steps to reach 1)

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

7,293,446 3,646,723 10,940,170 5,470,085 16,410,256 8,205,128 4,102,564 2,051,282 1,025,641 3,076,924 1,538,462 769,231 2,307,694 1,153,847 3,461,542 1,730,771 5,192,314 2,596,157 7,788,472 3,894,236 1,947,118 973,559 2,920,678 1,460,339 4,381,018 2,190,509 6,571,528 3,285,764 1,642,882 821,441 2,464,324 1,232,162 616,081 1,848,244 924,122 462,061 1,386,184 693,092 346,546 173,273 519,820 259,910 129,955 389,866 194,933 584,800 292,400 146,200 73,100 36,550 18,275 54,826 27,413 82,240 41,120 20,560 10,280 5,140 2,570 1,285

More profiles

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