54,072

2³ × 3² × 751

54,072 has the prime decomposition 2^3 × 3^2 × 751. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 751

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 146,640

Proper Divisor Sum 92,568

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #54059 ← → #54083

Radix Representation

Decimal	54072
Binary	1101001100111000 (16 bits)
Octal	0o151470
Hexadecimal	0xD338

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 751 1,502 2,253 3,004 4,506 6,008 6,759 9,012 13,518 18,024 27,036 54,072

Collatz Trajectory (65 steps to reach 1)

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

54,072 27,036 13,518 6,759 20,278 10,139 30,418 15,209 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10

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