153,171

3⁴ × 31 × 61

153,171 factors as 3^4 × 31 × 61. Its 20 positive divisors give a proper-divisor sum of 86,893, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3^4 × 31 × 61

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 240,064

Proper Divisor Sum 86,893

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #153151 ← → #153191

Radix Representation

Decimal	153171
Binary	100101011001010011 (18 bits)
Octal	0o453123
Hexadecimal	0x25653

Divisor Catalog (20)

1 3 9 27 31 61 81 93 183 279 549 837 1,647 1,891 2,511 4,941 5,673 17,019 51,057 153,171

Collatz Trajectory (201 steps to reach 1)

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

153,171 459,514 229,757 689,272 344,636 172,318 86,159 258,478 129,239 387,718 193,859 581,578 290,789 872,368 436,184 218,092 109,046 54,523 163,570 81,785 245,356 122,678 61,339 184,018 92,009 276,028 138,014 69,007 207,022 103,511 310,534 155,267 465,802 232,901 698,704 349,352 174,676 87,338 43,669 131,008 65,504 32,752 16,376 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #153,170 Browse Full Index Next Integer #153,172 →