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Atlas › Integer Profiles › Node 2,004,672

2,004,672

26 × 3 × 53 × 197
Abundant Even Composite

2,004,672 factors as 2^6 × 3 × 53 × 197. Its 56 positive divisors give a proper-divisor sum of 3,426,864, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 53 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,431,536
Proper Divisor Sum 3,426,864
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2004661 ← → #2004679

Radix Representation

Decimal 2004672
Binary 111101001011011000000 (21 bits)
Octal 0o7513300
Hexadecimal 0x1E96C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 197 212 318 394 424 591 636 788 848 1,182 1,272 1,576 1,696 2,364 2,544 3,152 3,392 4,728 5,088 6,304 9,456 10,176 10,441 12,608 18,912 20,882 31,323 37,824 41,764 62,646 83,528 125,292 167,056 250,584 334,112 501,168 668,224 1,002,336 2,004,672

Collatz Trajectory (60 steps to reach 1)

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

2,004,672 1,002,336 501,168 250,584 125,292 62,646 31,323 93,970 46,985 140,956 70,478 35,239 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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