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Atlas › Integer Profiles › Node 4,522,360

4,522,360

23 × 5 × 167 × 677
Abundant Even Composite

4,522,360 factors as 2^3 × 5 × 167 × 677. Its 32 positive divisors give a proper-divisor sum of 5,729,000, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 167 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,251,360
Proper Divisor Sum 5,729,000
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4522351 ← → #4522367

Radix Representation

Decimal 4522360
Binary 10001010000000101111000 (23 bits)
Octal 0o21200570
Hexadecimal 0x450178

Divisor Catalog (32)

1 2 4 5 8 10 20 40 167 334 668 677 835 1,336 1,354 1,670 2,708 3,340 3,385 5,416 6,680 6,770 13,540 27,080 113,059 226,118 452,236 565,295 904,472 1,130,590 2,261,180 4,522,360

Collatz Trajectory (162 steps to reach 1)

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

4,522,360 2,261,180 1,130,590 565,295 1,695,886 847,943 2,543,830 1,271,915 3,815,746 1,907,873 5,723,620 2,861,810 1,430,905 4,292,716 2,146,358 1,073,179 3,219,538 1,609,769 4,829,308 2,414,654 1,207,327 3,621,982 1,810,991 5,432,974 2,716,487 8,149,462 4,074,731 12,224,194 6,112,097 18,336,292 9,168,146 4,584,073 13,752,220 6,876,110 3,438,055 10,314,166 5,157,083 15,471,250 7,735,625 23,206,876 11,603,438 5,801,719 17,405,158 8,702,579 26,107,738 13,053,869 39,161,608 19,580,804 9,790,402 4,895,201 14,685,604 7,342,802 3,671,401 11,014,204 5,507,102 2,753,551 8,260,654 4,130,327 12,390,982 6,195,491

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