531,164

2² × 19 × 29 × 241

Starting at 531,164, the Collatz iteration reaches 1 after 133 steps. The first transition is 265582; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 29 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,016,400

Proper Divisor Sum 485,236

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #531163 ← → #531169

Radix Representation

Decimal	531164
Binary	10000001101011011100 (20 bits)
Octal	0o2015334
Hexadecimal	0x81ADC

Divisor Catalog (24)

1 2 4 19 29 38 58 76 116 241 482 551 964 1,102 2,204 4,579 6,989 9,158 13,978 18,316 27,956 132,791 265,582 531,164

Collatz Trajectory (133 steps to reach 1)

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

531,164 265,582 132,791 398,374 199,187 597,562 298,781 896,344 448,172 224,086 112,043 336,130 168,065 504,196 252,098 126,049 378,148 189,074 94,537 283,612 141,806 70,903 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825 179,476 89,738 44,869 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230

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