72,473

23² × 137

72,473 factors as 23^2 × 137. Its 6 positive divisors give a proper-divisor sum of 3,841, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 23^2 × 137

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 76,314

Proper Divisor Sum 3,841

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #72469 ← → #72481

Radix Representation

Decimal	72473
Binary	10001101100011001 (17 bits)
Octal	0o215431
Hexadecimal	0x11B19

Divisor Catalog (6)

1 23 137 529 3,151 72,473

Collatz Trajectory (205 steps to reach 1)

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

72,473 217,420 108,710 54,355 163,066 81,533 244,600 122,300 61,150 30,575 91,726 45,863 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535 130,606 65,303 195,910 97,955 293,866 146,933 440,800 220,400 110,200 55,100 27,550 13,775 41,326 20,663 61,990 30,995 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305

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