73,179

3² × 47 × 173

73,179 factors as 3^2 × 47 × 173. Its 12 positive divisors give a proper-divisor sum of 35,397, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 47 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 108,576

Proper Divisor Sum 35,397

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #73141 ← → #73181

Radix Representation

Decimal	73179
Binary	10001110111011011 (17 bits)
Octal	0o216733
Hexadecimal	0x11DDB

Divisor Catalog (12)

1 3 9 47 141 173 423 519 1,557 8,131 24,393 73,179

Collatz Trajectory (125 steps to reach 1)

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

73,179 219,538 109,769 329,308 164,654 82,327 246,982 123,491 370,474 185,237 555,712 277,856 138,928 69,464 34,732 17,366 8,683 26,050 13,025 39,076 19,538 9,769 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #73,178 Browse Full Index Next Integer #73,180 →