λ
Zalai Atlas

4,616,896

26 × 72139
Deficient Even Composite

4,616,896 has the prime decomposition 2^6 × 72139. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 72139
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 9,161,780
Proper Divisor Sum 4,544,884
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4616893 ← → #4616929

Radix Representation

Decimal 4616896
Binary 10001100111001011000000 (23 bits)
Octal 0o21471300
Hexadecimal 0x4672C0

Divisor Catalog (14)

1 2 4 8 16 32 64 72,139 144,278 288,556 577,112 1,154,224 2,308,448 4,616,896

Collatz Trajectory (48 steps to reach 1)

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

4,616,896 2,308,448 1,154,224 577,112 288,556 144,278 72,139 216,418 108,209 324,628 162,314 81,157 243,472 121,736 60,868 30,434 15,217 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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