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Atlas › Integer Profiles › Node 4,494,800

4,494,800

24 × 52 × 17 × 661
Abundant Even Composite

4,494,800 factors as 2^4 × 5^2 × 17 × 661. Its 60 positive divisors give a proper-divisor sum of 6,956,476, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 17 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,451,276
Proper Divisor Sum 6,956,476
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4494793 ← → #4494839

Radix Representation

Decimal 4494800
Binary 10001001001010111010000 (23 bits)
Octal 0o21112720
Hexadecimal 0x4495D0

Divisor Catalog (60)

1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 661 680 850 1,322 1,360 1,700 2,644 3,305 3,400 5,288 6,610 6,800 10,576 11,237 13,220 16,525 22,474 26,440 33,050 44,948 52,880 56,185 66,100 89,896 112,370 132,200 179,792 224,740 264,400 280,925 449,480 561,850 898,960 1,123,700 2,247,400 4,494,800

Collatz Trajectory (74 steps to reach 1)

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

4,494,800 2,247,400 1,123,700 561,850 280,925 842,776 421,388 210,694 105,347 316,042 158,021 474,064 237,032 118,516 59,258 29,629 88,888 44,444 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22

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