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Atlas › Integer Profiles › Node 5,038,720

5,038,720

27 × 5 × 7873
Abundant Even Composite

5,038,720 factors as 2^7 × 5 × 7873. Its 32 positive divisors give a proper-divisor sum of 7,008,500, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 7873
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,047,220
Proper Divisor Sum 7,008,500
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5038673 ← → #5038739

Radix Representation

Decimal 5038720
Binary 10011001110001010000000 (23 bits)
Octal 0o23161200
Hexadecimal 0x4CE280

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 7,873 15,746 31,492 39,365 62,984 78,730 125,968 157,460 251,936 314,920 503,872 629,840 1,007,744 1,259,680 2,519,360 5,038,720

Collatz Trajectory (51 steps to reach 1)

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

5,038,720 2,519,360 1,259,680 629,840 314,920 157,460 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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