λ
Harmonic Matrix

3,796,143

3 × 13 × 19 × 47 × 109
Deficient Odd Composite

3,796,143 has digital root 6. The neighboring primes are 3796109 and 3796183; its proper-divisor sum differs from the starting integer by -1,678,686.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 47 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,913,600
Proper Divisor Sum 2,117,457
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3796109 ← → #3796183

Radix Representation

Decimal 3796143
Binary 1110011110110010101111 (22 bits)
Octal 0o16366257
Hexadecimal 0x39ECAF

Divisor Catalog (32)

1 3 13 19 39 47 57 109 141 247 327 611 741 893 1,417 1,833 2,071 2,679 4,251 5,123 6,213 11,609 15,369 26,923 34,827 66,599 80,769 97,337 199,797 292,011 1,265,381 3,796,143

Collatz Trajectory (185 steps to reach 1)

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

3,796,143 11,388,430 5,694,215 17,082,646 8,541,323 25,623,970 12,811,985 38,435,956 19,217,978 9,608,989 28,826,968 14,413,484 7,206,742 3,603,371 10,810,114 5,405,057 16,215,172 8,107,586 4,053,793 12,161,380 6,080,690 3,040,345 9,121,036 4,560,518 2,280,259 6,840,778 3,420,389 10,261,168 5,130,584 2,565,292 1,282,646 641,323 1,923,970 961,985 2,885,956 1,442,978 721,489 2,164,468 1,082,234 541,117 1,623,352 811,676 405,838 202,919 608,758 304,379 913,138 456,569 1,369,708 684,854 342,427 1,027,282 513,641 1,540,924 770,462 385,231 1,155,694 577,847 1,733,542 866,771

More profiles

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