λ
Harmonic Matrix

7,046,912

28 × 27527
Deficient Even Composite

7,046,912 has digital root 2. The neighboring primes are 7046911 and 7046917; its proper-divisor sum differs from the starting integer by -27,016.

Prime Factor Structure

Factorization String 2^8 × 27527
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 14,066,808
Proper Divisor Sum 7,019,896
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7046911 ← → #7046917

Radix Representation

Decimal 7046912
Binary 11010111000011100000000 (23 bits)
Octal 0o32703400
Hexadecimal 0x6B8700

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 27,527 55,054 110,108 220,216 440,432 880,864 1,761,728 3,523,456 7,046,912

Collatz Trajectory (160 steps to reach 1)

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

7,046,912 3,523,456 1,761,728 880,864 440,432 220,216 110,108 55,054 27,527 82,582 41,291 123,874 61,937 185,812 92,906 46,453 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214

More profiles

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