471,972

2² × 3 × 37 × 1063

471,972 factors as 2^2 × 3 × 37 × 1063. Its 24 positive divisors give a proper-divisor sum of 660,124, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 1063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,132,096

Proper Divisor Sum 660,124

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #471959 ← → #471997

Radix Representation

Decimal	471972
Binary	1110011001110100100 (19 bits)
Octal	0o1631644
Hexadecimal	0x733A4

Divisor Catalog (24)

Collatz Trajectory (151 steps to reach 1)

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

471,972 235,986 117,993 353,980 176,990 88,495 265,486 132,743 398,230 199,115 597,346 298,673 896,020 448,010 224,005 672,016 336,008 168,004 84,002 42,001 126,004 63,002 31,501 94,504 47,252 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975

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