λ
Sequence Observatory

4,505,152

26 × 70393
Deficient Even Composite

Starting at 4,505,152, the Collatz iteration reaches 1 after 149 steps. The first transition is 2252576; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 70393
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 8,940,038
Proper Divisor Sum 4,434,886
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4505141 ← → #4505167

Radix Representation

Decimal 4505152
Binary 10001001011111001000000 (23 bits)
Octal 0o21137100
Hexadecimal 0x44BE40

Divisor Catalog (14)

1 2 4 8 16 32 64 70,393 140,786 281,572 563,144 1,126,288 2,252,576 4,505,152

Collatz Trajectory (149 steps to reach 1)

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

4,505,152 2,252,576 1,126,288 563,144 281,572 140,786 70,393 211,180 105,590 52,795 158,386 79,193 237,580 118,790 59,395 178,186 89,093 267,280 133,640 66,820 33,410 16,705 50,116 25,058 12,529 37,588 18,794 9,397 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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