6,719,009

11² × 55529

Starting at 6,719,009, the Collatz iteration reaches 1 after 116 steps. The first transition is 20157028; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 55529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 7,385,490

Proper Divisor Sum 666,481

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6719003 ← → #6719017

Radix Representation

Decimal	6719009
Binary	11001101000011000100001 (23 bits)
Octal	0o31503041
Hexadecimal	0x668621

Divisor Catalog (6)

1 11 121 55,529 610,819 6,719,009

Collatz Trajectory (116 steps to reach 1)

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

6,719,009 20,157,028 10,078,514 5,039,257 15,117,772 7,558,886 3,779,443 11,338,330 5,669,165 17,007,496 8,503,748 4,251,874 2,125,937 6,377,812 3,188,906 1,594,453 4,783,360 2,391,680 1,195,840 597,920 298,960 149,480 74,740 37,370 18,685 56,056 28,028 14,014 7,007 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646

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