λ
Prime Ledger

3,561,215

5 × 7 × 101749
Deficient Odd Composite

3,561,215 has the prime decomposition 5 × 7 × 101749. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 101749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,884,000
Proper Divisor Sum 1,322,785
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3561209 ← → #3561221

Radix Representation

Decimal 3561215
Binary 1101100101011011111111 (22 bits)
Octal 0o15453377
Hexadecimal 0x3656FF

Divisor Catalog (8)

1 5 7 35 101,749 508,745 712,243 3,561,215

Collatz Trajectory (120 steps to reach 1)

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

3,561,215 10,683,646 5,341,823 16,025,470 8,012,735 24,038,206 12,019,103 36,057,310 18,028,655 54,085,966 27,042,983 81,128,950 40,564,475 121,693,426 60,846,713 182,540,140 91,270,070 45,635,035 136,905,106 68,452,553 205,357,660 102,678,830 51,339,415 154,018,246 77,009,123 231,027,370 115,513,685 346,541,056 173,270,528 86,635,264 43,317,632 21,658,816 10,829,408 5,414,704 2,707,352 1,353,676 676,838 338,419 1,015,258 507,629 1,522,888 761,444 380,722 190,361 571,084 285,542 142,771 428,314 214,157 642,472 321,236 160,618 80,309 240,928 120,464 60,232 30,116 15,058 7,529 22,588

More profiles

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