λ
Harmonic Matrix

7,100,165

5 × 421 × 3373
Deficient Odd Composite

7,100,165 has digital root 2. The neighboring primes are 7100161 and 7100173; its proper-divisor sum differs from the starting integer by -5,657,362.

Prime Factor Structure

Factorization String 5 × 421 × 3373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,542,968
Proper Divisor Sum 1,442,803
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7100161 ← → #7100173

Radix Representation

Decimal 7100165
Binary 11011000101011100000101 (23 bits)
Octal 0o33053405
Hexadecimal 0x6C5705

Divisor Catalog (8)

1 5 421 2,105 3,373 16,865 1,420,033 7,100,165

Collatz Trajectory (160 steps to reach 1)

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

7,100,165 21,300,496 10,650,248 5,325,124 2,662,562 1,331,281 3,993,844 1,996,922 998,461 2,995,384 1,497,692 748,846 374,423 1,123,270 561,635 1,684,906 842,453 2,527,360 1,263,680 631,840 315,920 157,960 78,980 39,490 19,745 59,236 29,618 14,809 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214

More profiles

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