4,513,388

2² × 11 × 67 × 1531

Starting at 4,513,388, the Collatz iteration reaches 1 after 149 steps. The first transition is 2256694; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 67 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,750,784

Proper Divisor Sum 4,237,396

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4513373 ← → #4513391

Radix Representation

Decimal	4513388
Binary	10001001101111001101100 (23 bits)
Octal	0o21157154
Hexadecimal	0x44DE6C

Divisor Catalog (24)

1 2 4 11 22 44 67 134 268 737 1,474 1,531 2,948 3,062 6,124 16,841 33,682 67,364 102,577 205,154 410,308 1,128,347 2,256,694 4,513,388

Collatz Trajectory (149 steps to reach 1)

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

4,513,388 2,256,694 1,128,347 3,385,042 1,692,521 5,077,564 2,538,782 1,269,391 3,808,174 1,904,087 5,712,262 2,856,131 8,568,394 4,284,197 12,852,592 6,426,296 3,213,148 1,606,574 803,287 2,409,862 1,204,931 3,614,794 1,807,397 5,422,192 2,711,096 1,355,548 677,774 338,887 1,016,662 508,331 1,524,994 762,497 2,287,492 1,143,746 571,873 1,715,620 857,810 428,905 1,286,716 643,358 321,679 965,038 482,519 1,447,558 723,779 2,171,338 1,085,669 3,257,008 1,628,504 814,252 407,126 203,563 610,690 305,345 916,036 458,018 229,009 687,028 343,514 171,757

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