λ
Sigma Notebook

6,789,409

11 × 17 × 36307
Deficient Odd Composite

6,789,409 is odd and not a perfect square. Its factorization is 11 × 17 × 36307 and its 8 divisors sum to 7,842,528.

Prime Factor Structure

Factorization String 11 × 17 × 36307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,842,528
Proper Divisor Sum 1,053,119
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6789407 ← → #6789421

Radix Representation

Decimal 6789409
Binary 11001111001100100100001 (23 bits)
Octal 0o31714441
Hexadecimal 0x679921

Divisor Catalog (8)

1 11 17 187 36,307 399,377 617,219 6,789,409

Collatz Trajectory (85 steps to reach 1)

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

6,789,409 20,368,228 10,184,114 5,092,057 15,276,172 7,638,086 3,819,043 11,457,130 5,728,565 17,185,696 8,592,848 4,296,424 2,148,212 1,074,106 537,053 1,611,160 805,580 402,790 201,395 604,186 302,093 906,280 453,140 226,570 113,285 339,856 169,928 84,964 42,482 21,241 63,724 31,862 15,931 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200

More profiles

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