λ
Harmonic Matrix

6,888,148

22 × 1722037
Deficient Even Composite

6,888,148 has digital root 7. The neighboring primes are 6888143 and 6888151; its proper-divisor sum differs from the starting integer by -1,722,030.

Prime Factor Structure

Factorization String 2^2 × 1722037
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,054,266
Proper Divisor Sum 5,166,118
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6888143 ← → #6888151

Radix Representation

Decimal 6888148
Binary 11010010001101011010100 (23 bits)
Octal 0o32215324
Hexadecimal 0x691AD4

Divisor Catalog (6)

1 2 4 1,722,037 3,444,074 6,888,148

Collatz Trajectory (178 steps to reach 1)

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

6,888,148 3,444,074 1,722,037 5,166,112 2,583,056 1,291,528 645,764 322,882 161,441 484,324 242,162 121,081 363,244 181,622 90,811 272,434 136,217 408,652 204,326 102,163 306,490 153,245 459,736 229,868 114,934 57,467 172,402 86,201 258,604 129,302 64,651 193,954 96,977 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370 30,685 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283

More profiles

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