λ
Harmonic Matrix

7,178,213

7 × 1025459
Deficient Odd Composite

7,178,213 has digital root 2. The neighboring primes are 7178209 and 7178221; its proper-divisor sum differs from the starting integer by -6,152,746.

Prime Factor Structure

Factorization String 7 × 1025459
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,203,680
Proper Divisor Sum 1,025,467
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7178209 ← → #7178221

Radix Representation

Decimal 7178213
Binary 11011011000011111100101 (23 bits)
Octal 0o33303745
Hexadecimal 0x6D87E5

Divisor Catalog (4)

1 7 1,025,459 7,178,213

Collatz Trajectory (129 steps to reach 1)

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

7,178,213 21,534,640 10,767,320 5,383,660 2,691,830 1,345,915 4,037,746 2,018,873 6,056,620 3,028,310 1,514,155 4,542,466 2,271,233 6,813,700 3,406,850 1,703,425 5,110,276 2,555,138 1,277,569 3,832,708 1,916,354 958,177 2,874,532 1,437,266 718,633 2,155,900 1,077,950 538,975 1,616,926 808,463 2,425,390 1,212,695 3,638,086 1,819,043 5,457,130 2,728,565 8,185,696 4,092,848 2,046,424 1,023,212 511,606 255,803 767,410 383,705 1,151,116 575,558 287,779 863,338 431,669 1,295,008 647,504 323,752 161,876 80,938 40,469 121,408 60,704 30,352 15,176 7,588

More profiles

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