λ
Prime Ledger

3,865,707

32 × 79 × 5437
Deficient Odd Composite

3,865,707 has the prime decomposition 3^2 × 79 × 5437. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 79 × 5437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,655,520
Proper Divisor Sum 1,789,813
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3865691 ← → #3865733

Radix Representation

Decimal 3865707
Binary 1110101111110001101011 (22 bits)
Octal 0o16576153
Hexadecimal 0x3AFC6B

Divisor Catalog (12)

1 3 9 79 237 711 5,437 16,311 48,933 429,523 1,288,569 3,865,707

Collatz Trajectory (110 steps to reach 1)

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

3,865,707 11,597,122 5,798,561 17,395,684 8,697,842 4,348,921 13,046,764 6,523,382 3,261,691 9,785,074 4,892,537 14,677,612 7,338,806 3,669,403 11,008,210 5,504,105 16,512,316 8,256,158 4,128,079 12,384,238 6,192,119 18,576,358 9,288,179 27,864,538 13,932,269 41,796,808 20,898,404 10,449,202 5,224,601 15,673,804 7,836,902 3,918,451 11,755,354 5,877,677 17,633,032 8,816,516 4,408,258 2,204,129 6,612,388 3,306,194 1,653,097 4,959,292 2,479,646 1,239,823 3,719,470 1,859,735 5,579,206 2,789,603 8,368,810 4,184,405 12,553,216 6,276,608 3,138,304 1,569,152 784,576 392,288 196,144 98,072 49,036 24,518

More profiles

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