624,621

3 × 208207

Starting at 624,621, the Collatz iteration reaches 1 after 66 steps. The first transition is 1873864; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 208207

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 832,832

Proper Divisor Sum 208,211

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #624607 ← → #624643

Radix Representation

Decimal	624621
Binary	10011000011111101101 (20 bits)
Octal	0o2303755
Hexadecimal	0x987ED

Divisor Catalog (4)

1 3 208,207 624,621

Collatz Trajectory (66 steps to reach 1)

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

624,621 1,873,864 936,932 468,466 234,233 702,700 351,350 175,675 527,026 263,513 790,540 395,270 197,635 592,906 296,453 889,360 444,680 222,340 111,170 55,585 166,756 83,378 41,689 125,068 62,534 31,267 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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