λ
Sequence Observatory

4,561,456

24 × 285091
Deficient Even Composite

Starting at 4,561,456, the Collatz iteration reaches 1 after 79 steps. The first transition is 2280728; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 285091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 8,837,852
Proper Divisor Sum 4,276,396
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4561421 ← → #4561477

Radix Representation

Decimal 4561456
Binary 10001011001101000110000 (23 bits)
Octal 0o21315060
Hexadecimal 0x459A30

Divisor Catalog (10)

1 2 4 8 16 285,091 570,182 1,140,364 2,280,728 4,561,456

Collatz Trajectory (79 steps to reach 1)

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

4,561,456 2,280,728 1,140,364 570,182 285,091 855,274 427,637 1,282,912 641,456 320,728 160,364 80,182 40,091 120,274 60,137 180,412 90,206 45,103 135,310 67,655 202,966 101,483 304,450 152,225 456,676 228,338 114,169 342,508 171,254 85,627 256,882 128,441 385,324 192,662 96,331 288,994 144,497 433,492 216,746 108,373 325,120 162,560 81,280 40,640 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805

More profiles

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