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Atlas › Integer Profiles › Node 2,173,552

2,173,552

24 × 17 × 61 × 131
Abundant Even Composite

2,173,552 factors as 2^4 × 17 × 61 × 131. Its 40 positive divisors give a proper-divisor sum of 2,393,120, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 61 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,566,672
Proper Divisor Sum 2,393,120
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2173531 ← → #2173553

Radix Representation

Decimal 2173552
Binary 1000010010101001110000 (22 bits)
Octal 0o10225160
Hexadecimal 0x212A70

Divisor Catalog (40)

1 2 4 8 16 17 34 61 68 122 131 136 244 262 272 488 524 976 1,037 1,048 2,074 2,096 2,227 4,148 4,454 7,991 8,296 8,908 15,982 16,592 17,816 31,964 35,632 63,928 127,856 135,847 271,694 543,388 1,086,776 2,173,552

Collatz Trajectory (148 steps to reach 1)

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

2,173,552 1,086,776 543,388 271,694 135,847 407,542 203,771 611,314 305,657 916,972 458,486 229,243 687,730 343,865 1,031,596 515,798 257,899 773,698 386,849 1,160,548 580,274 290,137 870,412 435,206 217,603 652,810 326,405 979,216 489,608 244,804 122,402 61,201 183,604 91,802 45,901 137,704 68,852 34,426 17,213 51,640 25,820 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790

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