λ
Ratio Atlas

4,540,672

28 × 17737
Deficient Even Composite

4,540,672 factors as 2^8 × 17737. Its 18 positive divisors give a proper-divisor sum of 4,523,446, so this integer is deficient. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^8 × 17737
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,064,118
Proper Divisor Sum 4,523,446
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4540661 ← → #4540687

Radix Representation

Decimal 4540672
Binary 10001010100100100000000 (23 bits)
Octal 0o21244400
Hexadecimal 0x454900

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 17,737 35,474 70,948 141,896 283,792 567,584 1,135,168 2,270,336 4,540,672

Collatz Trajectory (56 steps to reach 1)

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

4,540,672 2,270,336 1,135,168 567,584 283,792 141,896 70,948 35,474 17,737 53,212 26,606 13,303 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 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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