280,775

5² × 11 × 1021

Starting at 280,775, the Collatz iteration reaches 1 after 220 steps. The first transition is 842326; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 1021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 380,184

Proper Divisor Sum 99,409

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #280771 ← → #280811

Radix Representation

Decimal	280775
Binary	1000100100011000111 (19 bits)
Octal	0o1044307
Hexadecimal	0x448C7

Divisor Catalog (12)

1 5 11 25 55 275 1,021 5,105 11,231 25,525 56,155 280,775

Collatz Trajectory (220 steps to reach 1)

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

280,775 842,326 421,163 1,263,490 631,745 1,895,236 947,618 473,809 1,421,428 710,714 355,357 1,066,072 533,036 266,518 133,259 399,778 199,889 599,668 299,834 149,917 449,752 224,876 112,438 56,219 168,658 84,329 252,988 126,494 63,247 189,742 94,871 284,614 142,307 426,922 213,461 640,384 320,192 160,096 80,048 40,024 20,012 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691

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