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Atlas › Integer Profiles › Node 5,525,152

5,525,152

25 × 23 × 7507
Abundant Even Composite

5,525,152 factors as 2^5 × 23 × 7507. Its 24 positive divisors give a proper-divisor sum of 5,826,944, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 7507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,352,096
Proper Divisor Sum 5,826,944
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5525147 ← → #5525171

Radix Representation

Decimal 5525152
Binary 10101000100111010100000 (23 bits)
Octal 0o25047240
Hexadecimal 0x544EA0

Divisor Catalog (24)

1 2 4 8 16 23 32 46 92 184 368 736 7,507 15,014 30,028 60,056 120,112 172,661 240,224 345,322 690,644 1,381,288 2,762,576 5,525,152

Collatz Trajectory (170 steps to reach 1)

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

5,525,152 2,762,576 1,381,288 690,644 345,322 172,661 517,984 258,992 129,496 64,748 32,374 16,187 48,562 24,281 72,844 36,422 18,211 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164

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