λ
Sequence Observatory

4,545,892

22 × 13 × 87421
Deficient Even Composite

Starting at 4,545,892, the Collatz iteration reaches 1 after 149 steps. The first transition is 2272946; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 87421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,567,356
Proper Divisor Sum 4,021,464
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4545889 ← → #4545899

Radix Representation

Decimal 4545892
Binary 10001010101110101100100 (23 bits)
Octal 0o21256544
Hexadecimal 0x455D64

Divisor Catalog (12)

1 2 4 13 26 52 87,421 174,842 349,684 1,136,473 2,272,946 4,545,892

Collatz Trajectory (149 steps to reach 1)

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

4,545,892 2,272,946 1,136,473 3,409,420 1,704,710 852,355 2,557,066 1,278,533 3,835,600 1,917,800 958,900 479,450 239,725 719,176 359,588 179,794 89,897 269,692 134,846 67,423 202,270 101,135 303,406 151,703 455,110 227,555 682,666 341,333 1,024,000 512,000 256,000 128,000 64,000 32,000 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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