564,948

2² × 3³ × 5231

564,948 factors as 2^2 × 3^3 × 5231. Its 24 positive divisors give a proper-divisor sum of 900,012, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5231

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,464,960

Proper Divisor Sum 900,012

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #564937 ← → #564959

Radix Representation

Decimal	564948
Binary	10001001111011010100 (20 bits)
Octal	0o2117324
Hexadecimal	0x89ED4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 5,231 10,462 15,693 20,924 31,386 47,079 62,772 94,158 141,237 188,316 282,474 564,948

Collatz Trajectory (128 steps to reach 1)

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

564,948 282,474 141,237 423,712 211,856 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590

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