621,399

3 × 103 × 2011

Starting at 621,399, the Collatz iteration reaches 1 after 110 steps. The first transition is 1864198; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 103 × 2011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 836,992

Proper Divisor Sum 215,593

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #621389 ← → #621419

Radix Representation

Decimal	621399
Binary	10010111101101010111 (20 bits)
Octal	0o2275527
Hexadecimal	0x97B57

Divisor Catalog (8)

1 3 103 309 2,011 6,033 207,133 621,399

Collatz Trajectory (110 steps to reach 1)

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

621,399 1,864,198 932,099 2,796,298 1,398,149 4,194,448 2,097,224 1,048,612 524,306 262,153 786,460 393,230 196,615 589,846 294,923 884,770 442,385 1,327,156 663,578 331,789 995,368 497,684 248,842 124,421 373,264 186,632 93,316 46,658 23,329 69,988 34,994 17,497 52,492 26,246 13,123 39,370 19,685 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944

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