4,472,172

2² × 3⁵ × 43 × 107

4,472,172 has the prime decomposition 2^2 × 3^5 × 43 × 107. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 43 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,108,096

Proper Divisor Sum 7,635,924

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4472159 ← → #4472197

Radix Representation

Decimal	4472172
Binary	10001000011110101101100 (23 bits)
Octal	0o21036554
Hexadecimal	0x443D6C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 27 36 43 54 81 86 107 108 129 162 172 214 243 258 321 324 387 428 486 516 642 774 963 972 1,161 1,284 1,548 1,926 2,322 2,889 3,483 3,852 4,601 4,644 5,778 6,966 8,667 9,202 10,449 11,556 13,803 13,932 17,334 18,404 20,898 26,001 27,606 34,668 41,409 41,796 52,002 55,212

Collatz Trajectory (242 steps to reach 1)

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

4,472,172 2,236,086 1,118,043 3,354,130 1,677,065 5,031,196 2,515,598 1,257,799 3,773,398 1,886,699 5,660,098 2,830,049 8,490,148 4,245,074 2,122,537 6,367,612 3,183,806 1,591,903 4,775,710 2,387,855 7,163,566 3,581,783 10,745,350 5,372,675 16,118,026 8,059,013 24,177,040 12,088,520 6,044,260 3,022,130 1,511,065 4,533,196 2,266,598 1,133,299 3,399,898 1,699,949 5,099,848 2,549,924 1,274,962 637,481 1,912,444 956,222 478,111 1,434,334 717,167 2,151,502 1,075,751 3,227,254 1,613,627 4,840,882 2,420,441 7,261,324 3,630,662 1,815,331 5,445,994 2,722,997 8,168,992 4,084,496 2,042,248 1,021,124

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