λ
Harmonic Matrix

6,991,201

7 × 998743
Deficient Odd Composite

6,991,201 has digital root 1. The neighboring primes are 6991147 and 6991253; its proper-divisor sum differs from the starting integer by -5,992,450.

Prime Factor Structure

Factorization String 7 × 998743
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,989,952
Proper Divisor Sum 998,751
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6991147 ← → #6991253

Radix Representation

Decimal 6991201
Binary 11010101010110101100001 (23 bits)
Octal 0o32526541
Hexadecimal 0x6AAD61

Divisor Catalog (4)

1 7 998,743 6,991,201

Collatz Trajectory (253 steps to reach 1)

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

6,991,201 20,973,604 10,486,802 5,243,401 15,730,204 7,865,102 3,932,551 11,797,654 5,898,827 17,696,482 8,848,241 26,544,724 13,272,362 6,636,181 19,908,544 9,954,272 4,977,136 2,488,568 1,244,284 622,142 311,071 933,214 466,607 1,399,822 699,911 2,099,734 1,049,867 3,149,602 1,574,801 4,724,404 2,362,202 1,181,101 3,543,304 1,771,652 885,826 442,913 1,328,740 664,370 332,185 996,556 498,278 249,139 747,418 373,709 1,121,128 560,564 280,282 140,141 420,424 210,212 105,106 52,553 157,660 78,830 39,415 118,246 59,123 177,370 88,685 266,056

More profiles

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