1,993,770

2 × 3² × 5 × 22153

Starting at 1,993,770, the Collatz iteration reaches 1 after 228 steps. The first transition is 996885; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 22153

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,184,036

Proper Divisor Sum 3,190,266

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1993763 ← → #1993829

Radix Representation

Decimal	1993770
Binary	111100110110000101010 (21 bits)
Octal	0o7466052
Hexadecimal	0x1E6C2A

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 22,153 44,306 66,459 110,765 132,918 199,377 221,530 332,295 398,754 664,590 996,885 1,993,770

Collatz Trajectory (228 steps to reach 1)

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

1,993,770 996,885 2,990,656 1,495,328 747,664 373,832 186,916 93,458 46,729 140,188 70,094 35,047 105,142 52,571 157,714 78,857 236,572 118,286 59,143 177,430 88,715 266,146 133,073 399,220 199,610 99,805 299,416 149,708 74,854 37,427 112,282 56,141 168,424 84,212 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110

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