48,031

43 × 1117

48,031 factors as 43 × 1117. Its 4 positive divisors give a proper-divisor sum of 1,161, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 43 × 1117

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 49,192

Proper Divisor Sum 1,161

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #48029 ← → #48049

Radix Representation

Decimal	48031
Binary	1011101110011111 (16 bits)
Octal	0o135637
Hexadecimal	0xBB9F

Divisor Catalog (4)

1 43 1,117 48,031

Collatz Trajectory (70 steps to reach 1)

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

48,031 144,094 72,047 216,142 108,071 324,214 162,107 486,322 243,161 729,484 364,742 182,371 547,114 273,557 820,672 410,336 205,168 102,584 51,292 25,646 12,823 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52

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