137,241

3³ × 13 × 17 × 23

137,241 factors as 3^3 × 13 × 17 × 23. Its 32 positive divisors give a proper-divisor sum of 104,679, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 17 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 241,920

Proper Divisor Sum 104,679

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #137239 ← → #137251

Radix Representation

Decimal	137241
Binary	100001100000011001 (18 bits)
Octal	0o414031
Hexadecimal	0x21819

Divisor Catalog (32)

1 3 9 13 17 23 27 39 51 69 117 153 207 221 299 351 391 459 621 663 897 1,173 1,989 2,691 3,519 5,083 5,967 8,073 10,557 15,249 45,747 137,241

Collatz Trajectory (175 steps to reach 1)

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

137,241 411,724 205,862 102,931 308,794 154,397 463,192 231,596 115,798 57,899 173,698 86,849 260,548 130,274 65,137 195,412 97,706 48,853 146,560 73,280 36,640 18,320 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146

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