131,511

3 × 59 × 743

131,511 is odd and not a perfect square. Its factorization is 3 × 59 × 743 and its 8 divisors sum to 178,560.

Prime Factor Structure

Factorization String 3 × 59 × 743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 178,560

Proper Divisor Sum 47,049

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #131507 ← → #131519

Radix Representation

Decimal	131511
Binary	100000000110110111 (18 bits)
Octal	0o400667
Hexadecimal	0x201B7

Divisor Catalog (8)

1 3 59 177 743 2,229 43,837 131,511

Collatz Trajectory (162 steps to reach 1)

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

131,511 394,534 197,267 591,802 295,901 887,704 443,852 221,926 110,963 332,890 166,445 499,336 249,668 124,834 62,417 187,252 93,626 46,813 140,440 70,220 35,110 17,555 52,666 26,333 79,000 39,500 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142

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