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4,454,064

24 × 32 × 30931
Abundant Even Composite

4,454,064 factors as 2^4 × 3^2 × 30931. Its 30 positive divisors give a proper-divisor sum of 8,011,532, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 30931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 12,465,596
Proper Divisor Sum 8,011,532
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4454059 ← → #4454071

Radix Representation

Decimal 4454064
Binary 10000111111011010110000 (23 bits)
Octal 0o20773260
Hexadecimal 0x43F6B0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 30,931 61,862 92,793 123,724 185,586 247,448 278,379 371,172 494,896 556,758 742,344 1,113,516 1,484,688 2,227,032 4,454,064

Collatz Trajectory (211 steps to reach 1)

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

4,454,064 2,227,032 1,113,516 556,758 278,379 835,138 417,569 1,252,708 626,354 313,177 939,532 469,766 234,883 704,650 352,325 1,056,976 528,488 264,244 132,122 66,061 198,184 99,092 49,546 24,773 74,320 37,160 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295

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