λ
Harmonic Matrix

5,726,185

5 × 587 × 1951
Deficient Odd Composite

5,726,185 has digital root 7. The neighboring primes are 5726179 and 5726191; its proper-divisor sum differs from the starting integer by -4,565,714.

Prime Factor Structure

Factorization String 5 × 587 × 1951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,886,656
Proper Divisor Sum 1,160,471
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5726179 ← → #5726191

Radix Representation

Decimal 5726185
Binary 10101110101111111101001 (23 bits)
Octal 0o25657751
Hexadecimal 0x575FE9

Divisor Catalog (8)

1 5 587 1,951 2,935 9,755 1,145,237 5,726,185

Collatz Trajectory (214 steps to reach 1)

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

5,726,185 17,178,556 8,589,278 4,294,639 12,883,918 6,441,959 19,325,878 9,662,939 28,988,818 14,494,409 43,483,228 21,741,614 10,870,807 32,612,422 16,306,211 48,918,634 24,459,317 73,377,952 36,688,976 18,344,488 9,172,244 4,586,122 2,293,061 6,879,184 3,439,592 1,719,796 859,898 429,949 1,289,848 644,924 322,462 161,231 483,694 241,847 725,542 362,771 1,088,314 544,157 1,632,472 816,236 408,118 204,059 612,178 306,089 918,268 459,134 229,567 688,702 344,351 1,033,054 516,527 1,549,582 774,791 2,324,374 1,162,187 3,486,562 1,743,281 5,229,844 2,614,922 1,307,461

More profiles

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