λ
Prime Ledger

6,656,209

72 × 135841
Deficient Odd Composite

6,656,209 has the prime decomposition 7^2 × 135841. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 135841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,742,994
Proper Divisor Sum 1,086,785
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6656201 ← → #6656239

Radix Representation

Decimal 6656209
Binary 11001011001000011010001 (23 bits)
Octal 0o31310321
Hexadecimal 0x6590D1

Divisor Catalog (6)

1 7 49 135,841 950,887 6,656,209

Collatz Trajectory (178 steps to reach 1)

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

6,656,209 19,968,628 9,984,314 4,992,157 14,976,472 7,488,236 3,744,118 1,872,059 5,616,178 2,808,089 8,424,268 4,212,134 2,106,067 6,318,202 3,159,101 9,477,304 4,738,652 2,369,326 1,184,663 3,553,990 1,776,995 5,330,986 2,665,493 7,996,480 3,998,240 1,999,120 999,560 499,780 249,890 124,945 374,836 187,418 93,709 281,128 140,564 70,282 35,141 105,424 52,712 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040

More profiles

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