579,173

7 × 17 × 31 × 157

Starting at 579,173, the Collatz iteration reaches 1 after 97 steps. The first transition is 1737520; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 31 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 728,064

Proper Divisor Sum 148,891

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #579133 ← → #579179

Radix Representation

Decimal	579173
Binary	10001101011001100101 (20 bits)
Octal	0o2153145
Hexadecimal	0x8D665

Divisor Catalog (16)

1 7 17 31 119 157 217 527 1,099 2,669 3,689 4,867 18,683 34,069 82,739 579,173

Collatz Trajectory (97 steps to reach 1)

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

579,173 1,737,520 868,760 434,380 217,190 108,595 325,786 162,893 488,680 244,340 122,170 61,085 183,256 91,628 45,814 22,907 68,722 34,361 103,084 51,542 25,771 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614

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