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Atlas › Integer Profiles › Node 5,454,016

5,454,016

26 × 31 × 2749
Abundant Even Composite

5,454,016 factors as 2^6 × 31 × 2749. Its 28 positive divisors give a proper-divisor sum of 5,721,984, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^6 × 31 × 2749
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 11,176,000
Proper Divisor Sum 5,721,984
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5454011 ← → #5454017

Radix Representation

Decimal 5454016
Binary 10100110011100011000000 (23 bits)
Octal 0o24634300
Hexadecimal 0x5338C0

Divisor Catalog (28)

1 2 4 8 16 31 32 62 64 124 248 496 992 1,984 2,749 5,498 10,996 21,992 43,984 85,219 87,968 170,438 175,936 340,876 681,752 1,363,504 2,727,008 5,454,016

Collatz Trajectory (64 steps to reach 1)

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

5,454,016 2,727,008 1,363,504 681,752 340,876 170,438 85,219 255,658 127,829 383,488 191,744 95,872 47,936 23,968 11,984 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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