137,790

2 × 3² × 5 × 1531

137,790 factors as 2 × 3^2 × 5 × 1531. Its 24 positive divisors give a proper-divisor sum of 220,698, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 358,488

Proper Divisor Sum 220,698

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #137777 ← → #137791

Radix Representation

Decimal	137790
Binary	100001101000111110 (18 bits)
Octal	0o415076
Hexadecimal	0x21A3E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 1,531 3,062 4,593 7,655 9,186 13,779 15,310 22,965 27,558 45,930 68,895 137,790

Collatz Trajectory (175 steps to reach 1)

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

137,790 68,895 206,686 103,343 310,030 155,015 465,046 232,523 697,570 348,785 1,046,356 523,178 261,589 784,768 392,384 196,192 98,096 49,048 24,524 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146

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