λ
Harmonic Matrix

7,994,206

2 × 11 × 363373
Deficient Even Composite

7,994,206 has digital root 1. The neighboring primes are 7994197 and 7994213; its proper-divisor sum differs from the starting integer by -2,906,948.

Prime Factor Structure

Factorization String 2 × 11 × 363373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,081,464
Proper Divisor Sum 5,087,258
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7994197 ← → #7994213

Radix Representation

Decimal 7994206
Binary 11110011111101101011110 (23 bits)
Octal 0o36375536
Hexadecimal 0x79FB5E

Divisor Catalog (8)

1 2 11 22 363,373 726,746 3,997,103 7,994,206

Collatz Trajectory (217 steps to reach 1)

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

7,994,206 3,997,103 11,991,310 5,995,655 17,986,966 8,993,483 26,980,450 13,490,225 40,470,676 20,235,338 10,117,669 30,353,008 15,176,504 7,588,252 3,794,126 1,897,063 5,691,190 2,845,595 8,536,786 4,268,393 12,805,180 6,402,590 3,201,295 9,603,886 4,801,943 14,405,830 7,202,915 21,608,746 10,804,373 32,413,120 16,206,560 8,103,280 4,051,640 2,025,820 1,012,910 506,455 1,519,366 759,683 2,279,050 1,139,525 3,418,576 1,709,288 854,644 427,322 213,661 640,984 320,492 160,246 80,123 240,370 120,185 360,556 180,278 90,139 270,418 135,209 405,628 202,814 101,407 304,222

More profiles

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