38,955

3 × 5 × 7² × 53

38,955 factors as 3 × 5 × 7^2 × 53. Its 24 positive divisors give a proper-divisor sum of 34,917, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 73,872

Proper Divisor Sum 34,917

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #38953 ← → #38959

Radix Representation

Decimal	38955
Binary	1001100000101011 (16 bits)
Octal	0o114053
Hexadecimal	0x982B

Divisor Catalog (24)

1 3 5 7 15 21 35 49 53 105 147 159 245 265 371 735 795 1,113 1,855 2,597 5,565 7,791 12,985 38,955

Collatz Trajectory (168 steps to reach 1)

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

38,955 116,866 58,433 175,300 87,650 43,825 131,476 65,738 32,869 98,608 49,304 24,652 12,326 6,163 18,490 9,245 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

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