λ
Sequence Observatory

4,512,176

24 × 282011
Deficient Even Composite

Starting at 4,512,176, the Collatz iteration reaches 1 after 136 steps. The first transition is 2256088; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 282011
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 8,742,372
Proper Divisor Sum 4,230,196
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4512161 ← → #4512199

Radix Representation

Decimal 4512176
Binary 10001001101100110110000 (23 bits)
Octal 0o21154660
Hexadecimal 0x44D9B0

Divisor Catalog (10)

1 2 4 8 16 282,011 564,022 1,128,044 2,256,088 4,512,176

Collatz Trajectory (136 steps to reach 1)

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

4,512,176 2,256,088 1,128,044 564,022 282,011 846,034 423,017 1,269,052 634,526 317,263 951,790 475,895 1,427,686 713,843 2,141,530 1,070,765 3,212,296 1,606,148 803,074 401,537 1,204,612 602,306 301,153 903,460 451,730 225,865 677,596 338,798 169,399 508,198 254,099 762,298 381,149 1,143,448 571,724 285,862 142,931 428,794 214,397 643,192 321,596 160,798 80,399 241,198 120,599 361,798 180,899 542,698 271,349 814,048 407,024 203,512 101,756 50,878 25,439 76,318 38,159 114,478 57,239 171,718

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