λ
Prime Ledger

5,967,105

3 × 5 × 397807
Deficient Odd Composite

5,967,105 has the prime decomposition 3 × 5 × 397807. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 397807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,547,392
Proper Divisor Sum 3,580,287
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5967079 ← → #5967109

Radix Representation

Decimal 5967105
Binary 10110110000110100000001 (23 bits)
Octal 0o26606401
Hexadecimal 0x5B0D01

Divisor Catalog (8)

1 3 5 15 397,807 1,193,421 1,989,035 5,967,105

Collatz Trajectory (227 steps to reach 1)

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

5,967,105 17,901,316 8,950,658 4,475,329 13,425,988 6,712,994 3,356,497 10,069,492 5,034,746 2,517,373 7,552,120 3,776,060 1,888,030 944,015 2,832,046 1,416,023 4,248,070 2,124,035 6,372,106 3,186,053 9,558,160 4,779,080 2,389,540 1,194,770 597,385 1,792,156 896,078 448,039 1,344,118 672,059 2,016,178 1,008,089 3,024,268 1,512,134 756,067 2,268,202 1,134,101 3,402,304 1,701,152 850,576 425,288 212,644 106,322 53,161 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332 454,166 227,083

More profiles

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