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Atlas › Integer Profiles › Node 5,523,880

5,523,880

23 × 5 × 197 × 701
Abundant Even Composite

5,523,880 factors as 2^3 × 5 × 197 × 701. Its 32 positive divisors give a proper-divisor sum of 6,985,760, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 197 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,509,640
Proper Divisor Sum 6,985,760
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5523857 ← → #5523883

Radix Representation

Decimal 5523880
Binary 10101000100100110101000 (23 bits)
Octal 0o25044650
Hexadecimal 0x5449A8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 197 394 701 788 985 1,402 1,576 1,970 2,804 3,505 3,940 5,608 7,010 7,880 14,020 28,040 138,097 276,194 552,388 690,485 1,104,776 1,380,970 2,761,940 5,523,880

Collatz Trajectory (201 steps to reach 1)

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

5,523,880 2,761,940 1,380,970 690,485 2,071,456 1,035,728 517,864 258,932 129,466 64,733 194,200 97,100 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974

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