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Atlas › Integer Profiles › Node 5,358,500

5,358,500

22 × 53 × 7 × 1531
Abundant Even Composite

5,358,500 factors as 2^2 × 5^3 × 7 × 1531. Its 48 positive divisors give a proper-divisor sum of 8,025,052, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,383,552
Proper Divisor Sum 8,025,052
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5358499 ← → #5358503

Radix Representation

Decimal 5358500
Binary 10100011100001110100100 (23 bits)
Octal 0o24341644
Hexadecimal 0x51C3A4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1,531 1,750 3,062 3,500 6,124 7,655 10,717 15,310 21,434 30,620 38,275 42,868 53,585 76,550 107,170 153,100 191,375 214,340 267,925 382,750 535,850 765,500 1,071,700 1,339,625 2,679,250 5,358,500

Collatz Trajectory (139 steps to reach 1)

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

5,358,500 2,679,250 1,339,625 4,018,876 2,009,438 1,004,719 3,014,158 1,507,079 4,521,238 2,260,619 6,781,858 3,390,929 10,172,788 5,086,394 2,543,197 7,629,592 3,814,796 1,907,398 953,699 2,861,098 1,430,549 4,291,648 2,145,824 1,072,912 536,456 268,228 134,114 67,057 201,172 100,586 50,293 150,880 75,440 37,720 18,860 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669

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