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71,928

23 × 35 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^5 × 37
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 207,480
Proper Divisor Sum 135,552
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #71917 ← → #71933

Radix Representation

Decimal 71928
Binary 10001100011111000 (17 bits)
Octal 0o214370
Hexadecimal 0x118F8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1,332 1,944 1,998 2,664 2,997 3,996 5,994 7,992 8,991 11,988 17,982 23,976 35,964 71,928

Collatz Trajectory (143 steps to reach 1)

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

71,928 35,964 17,982 8,991 26,974 13,487 40,462 20,231 60,694 30,347 91,042 45,521 136,564 68,282 34,141 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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