4,484,592

2⁴ × 3³ × 7 × 1483

4,484,592 factors as 2^4 × 3^3 × 7 × 1483. Its 80 positive divisors give a proper-divisor sum of 10,236,688, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 1483

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 14,721,280

Proper Divisor Sum 10,236,688

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4484591 ← → #4484611

Radix Representation

Decimal	4484592
Binary	10001000110110111110000 (23 bits)
Octal	0o21066760
Hexadecimal	0x446DF0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1,008 1,483 1,512 2,966 3,024 4,449 5,932 8,898 10,381 11,864 13,347 17,796 20,762 23,728 26,694 31,143 35,592 40,041 41,524 53,388 62,286 71,184 80,082

Collatz Trajectory (211 steps to reach 1)

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

4,484,592 2,242,296 1,121,148 560,574 280,287 840,862 420,431 1,261,294 630,647 1,891,942 945,971 2,837,914 1,418,957 4,256,872 2,128,436 1,064,218 532,109 1,596,328 798,164 399,082 199,541 598,624 299,312 149,656 74,828 37,414 18,707 56,122 28,061 84,184 42,092 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742

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