λ
Ratio Atlas

4,716,064

25 × 147377
Deficient Even Composite

4,716,064 factors as 2^5 × 147377. Its 12 positive divisors give a proper-divisor sum of 4,568,750, so this integer is deficient. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^5 × 147377
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,284,814
Proper Divisor Sum 4,568,750
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4716053 ← → #4716083

Radix Representation

Decimal 4716064
Binary 10001111111011000100000 (23 bits)
Octal 0o21773040
Hexadecimal 0x47F620

Divisor Catalog (12)

1 2 4 8 16 32 147,377 294,754 589,508 1,179,016 2,358,032 4,716,064

Collatz Trajectory (56 steps to reach 1)

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

4,716,064 2,358,032 1,179,016 589,508 294,754 147,377 442,132 221,066 110,533 331,600 165,800 82,900 41,450 20,725 62,176 31,088 15,544 7,772 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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