530,658

2 × 3³ × 31 × 317

Starting at 530,658, the Collatz iteration reaches 1 after 45 steps. The first transition is 265329; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,221,120

Proper Divisor Sum 690,462

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #530653 ← → #530659

Radix Representation

Decimal	530658
Binary	10000001100011100010 (20 bits)
Octal	0o2014342
Hexadecimal	0x818E2

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 317 558 634 837 951 1,674 1,902 2,853 5,706 8,559 9,827 17,118 19,654 29,481 58,962 88,443 176,886 265,329 530,658

Collatz Trajectory (45 steps to reach 1)

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

530,658 265,329 795,988 397,994 198,997 596,992 298,496 149,248 74,624 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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