λ
Harmonic Matrix

7,620,187

37 × 205951
Deficient Odd Composite

7,620,187 has digital root 4. The neighboring primes are 7620169 and 7620191; its proper-divisor sum differs from the starting integer by -7,414,198.

Prime Factor Structure

Factorization String 37 × 205951
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,826,176
Proper Divisor Sum 205,989
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7620169 ← → #7620191

Radix Representation

Decimal 7620187
Binary 11101000100011001011011 (23 bits)
Octal 0o35043133
Hexadecimal 0x74465B

Divisor Catalog (4)

1 37 205,951 7,620,187

Collatz Trajectory (217 steps to reach 1)

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

7,620,187 22,860,562 11,430,281 34,290,844 17,145,422 8,572,711 25,718,134 12,859,067 38,577,202 19,288,601 57,865,804 28,932,902 14,466,451 43,399,354 21,699,677 65,099,032 32,549,516 16,274,758 8,137,379 24,412,138 12,206,069 36,618,208 18,309,104 9,154,552 4,577,276 2,288,638 1,144,319 3,432,958 1,716,479 5,149,438 2,574,719 7,724,158 3,862,079 11,586,238 5,793,119 17,379,358 8,689,679 26,069,038 13,034,519 39,103,558 19,551,779 58,655,338 29,327,669 87,983,008 43,991,504 21,995,752 10,997,876 5,498,938 2,749,469 8,248,408 4,124,204 2,062,102 1,031,051 3,093,154 1,546,577 4,639,732 2,319,866 1,159,933 3,479,800 1,739,900

More profiles

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