659,015

5 × 7 × 19 × 991

Starting at 659,015, the Collatz iteration reaches 1 after 198 steps. The first transition is 1977046; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 19 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 952,320

Proper Divisor Sum 293,305

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #659011 ← → #659023

Radix Representation

Decimal	659015
Binary	10100000111001000111 (20 bits)
Octal	0o2407107
Hexadecimal	0xA0E47

Divisor Catalog (16)

1 5 7 19 35 95 133 665 991 4,955 6,937 18,829 34,685 94,145 131,803 659,015

Collatz Trajectory (198 steps to reach 1)

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

659,015 1,977,046 988,523 2,965,570 1,482,785 4,448,356 2,224,178 1,112,089 3,336,268 1,668,134 834,067 2,502,202 1,251,101 3,753,304 1,876,652 938,326 469,163 1,407,490 703,745 2,111,236 1,055,618 527,809 1,583,428 791,714 395,857 1,187,572 593,786 296,893 890,680 445,340 222,670 111,335 334,006 167,003 501,010 250,505 751,516 375,758 187,879 563,638 281,819 845,458 422,729 1,268,188 634,094 317,047 951,142 475,571 1,426,714 713,357 2,140,072 1,070,036 535,018 267,509 802,528 401,264 200,632 100,316 50,158 25,079

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