λ
Harmonic Matrix

7,001,141

7 × 53 × 113 × 167
Deficient Odd Composite

7,001,141 has digital root 5. The neighboring primes are 7001123 and 7001213; its proper-divisor sum differs from the starting integer by -5,728,618.

Prime Factor Structure

Factorization String 7 × 53 × 113 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,273,664
Proper Divisor Sum 1,272,523
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #7001123 ← → #7001213

Radix Representation

Decimal 7001141
Binary 11010101101010000110101 (23 bits)
Octal 0o32552065
Hexadecimal 0x6AD435

Divisor Catalog (16)

1 7 53 113 167 371 791 1,169 5,989 8,851 18,871 41,923 61,957 132,097 1,000,163 7,001,141

Collatz Trajectory (129 steps to reach 1)

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

7,001,141 21,003,424 10,501,712 5,250,856 2,625,428 1,312,714 656,357 1,969,072 984,536 492,268 246,134 123,067 369,202 184,601 553,804 276,902 138,451 415,354 207,677 623,032 311,516 155,758 77,879 233,638 116,819 350,458 175,229 525,688 262,844 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440

More profiles

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