6,920,009

19² × 29 × 661

6,920,009 factors as 19^2 × 29 × 661. Its 12 positive divisors give a proper-divisor sum of 646,651, so this integer is deficient. The Collatz stopping time is 328 steps.

Prime Factor Structure

Factorization String 19^2 × 29 × 661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,566,660

Proper Divisor Sum 646,651

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6919993 ← → #6920041

Radix Representation

Decimal	6920009
Binary	11010011001011101001001 (23 bits)
Octal	0o32313511
Hexadecimal	0x699749

Divisor Catalog (12)

1 19 29 361 551 661 10,469 12,559 19,169 238,621 364,211 6,920,009

Collatz Trajectory (328 steps to reach 1)

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

6,920,009 20,760,028 10,380,014 5,190,007 15,570,022 7,785,011 23,355,034 11,677,517 35,032,552 17,516,276 8,758,138 4,379,069 13,137,208 6,568,604 3,284,302 1,642,151 4,926,454 2,463,227 7,389,682 3,694,841 11,084,524 5,542,262 2,771,131 8,313,394 4,156,697 12,470,092 6,235,046 3,117,523 9,352,570 4,676,285 14,028,856 7,014,428 3,507,214 1,753,607 5,260,822 2,630,411 7,891,234 3,945,617 11,836,852 5,918,426 2,959,213 8,877,640 4,438,820 2,219,410 1,109,705 3,329,116 1,664,558 832,279 2,496,838 1,248,419 3,745,258 1,872,629 5,617,888 2,808,944 1,404,472 702,236 351,118 175,559 526,678 263,339

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