611,499

3 × 7 × 37 × 787

Starting at 611,499, the Collatz iteration reaches 1 after 203 steps. The first transition is 1834498; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 958,208

Proper Divisor Sum 346,709

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #611497 ← → #611531

Radix Representation

Decimal	611499
Binary	10010101010010101011 (20 bits)
Octal	0o2252253
Hexadecimal	0x954AB

Divisor Catalog (16)

1 3 7 21 37 111 259 777 787 2,361 5,509 16,527 29,119 87,357 203,833 611,499

Collatz Trajectory (203 steps to reach 1)

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

611,499 1,834,498 917,249 2,751,748 1,375,874 687,937 2,063,812 1,031,906 515,953 1,547,860 773,930 386,965 1,160,896 580,448 290,224 145,112 72,556 36,278 18,139 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881

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