6,988,523

19 × 37 × 9941

Starting at 6,988,523, the Collatz iteration reaches 1 after 178 steps. The first transition is 20965570; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 37 × 9941

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,555,920

Proper Divisor Sum 567,397

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6988511 ← → #6988537

Radix Representation

Decimal	6988523
Binary	11010101010001011101011 (23 bits)
Octal	0o32521353
Hexadecimal	0x6AA2EB

Divisor Catalog (8)

1 19 37 703 9,941 188,879 367,817 6,988,523

Collatz Trajectory (178 steps to reach 1)

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

6,988,523 20,965,570 10,482,785 31,448,356 15,724,178 7,862,089 23,586,268 11,793,134 5,896,567 17,689,702 8,844,851 26,534,554 13,267,277 39,801,832 19,900,916 9,950,458 4,975,229 14,925,688 7,462,844 3,731,422 1,865,711 5,597,134 2,798,567 8,395,702 4,197,851 12,593,554 6,296,777 18,890,332 9,445,166 4,722,583 14,167,750 7,083,875 21,251,626 10,625,813 31,877,440 15,938,720 7,969,360 3,984,680 1,992,340 996,170 498,085 1,494,256 747,128 373,564 186,782 93,391 280,174 140,087 420,262 210,131 630,394 315,197 945,592 472,796 236,398 118,199 354,598 177,299 531,898 265,949

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