53,985

3 × 5 × 59 × 61

53,985 factors as 3 × 5 × 59 × 61. Its 16 positive divisors give a proper-divisor sum of 35,295, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3 × 5 × 59 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 89,280

Proper Divisor Sum 35,295

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #53959 ← → #53987

Radix Representation

Decimal	53985
Binary	1101001011100001 (16 bits)
Octal	0o151341
Hexadecimal	0xD2E1

Divisor Catalog (16)

1 3 5 15 59 61 177 183 295 305 885 915 3,599 10,797 17,995 53,985

Collatz Trajectory (215 steps to reach 1)

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

53,985 161,956 80,978 40,489 121,468 60,734 30,367 91,102 45,551 136,654 68,327 204,982 102,491 307,474 153,737 461,212 230,606 115,303 345,910 172,955 518,866 259,433 778,300 389,150 194,575 583,726 291,863 875,590 437,795 1,313,386 656,693 1,970,080 985,040 492,520 246,260 123,130 61,565 184,696 92,348 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764 116,882 58,441 175,324 87,662 43,831 131,494 65,747 197,242 98,621 295,864 147,932 73,966

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