λ
Sigma Notebook

1,268,224

29 × 2477
Deficient Even Composite

1,268,224 is even and not a perfect square. Its factorization is 2^9 × 2477 and its 20 divisors sum to 2,534,994.

Prime Factor Structure

Factorization String 2^9 × 2477
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,534,994
Proper Divisor Sum 1,266,770
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1268221 ← → #1268233

Radix Representation

Decimal 1268224
Binary 100110101101000000000 (21 bits)
Octal 0o4655000
Hexadecimal 0x135A00

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 2,477 4,954 9,908 19,816 39,632 79,264 158,528 317,056 634,112 1,268,224

Collatz Trajectory (142 steps to reach 1)

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

1,268,224 634,112 317,056 158,528 79,264 39,632 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

More profiles

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