1,770,747

3 × 11 × 23 × 2333

Starting at 1,770,747, the Collatz iteration reaches 1 after 220 steps. The first transition is 5312242; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 23 × 2333

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,688,768

Proper Divisor Sum 918,021

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1770739 ← → #1770757

Radix Representation

Decimal	1770747
Binary	110110000010011111011 (21 bits)
Octal	0o6602373
Hexadecimal	0x1B04FB

Divisor Catalog (16)

1 3 11 23 33 69 253 759 2,333 6,999 25,663 53,659 76,989 160,977 590,249 1,770,747

Collatz Trajectory (220 steps to reach 1)

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

1,770,747 5,312,242 2,656,121 7,968,364 3,984,182 1,992,091 5,976,274 2,988,137 8,964,412 4,482,206 2,241,103 6,723,310 3,361,655 10,084,966 5,042,483 15,127,450 7,563,725 22,691,176 11,345,588 5,672,794 2,836,397 8,509,192 4,254,596 2,127,298 1,063,649 3,190,948 1,595,474 797,737 2,393,212 1,196,606 598,303 1,794,910 897,455 2,692,366 1,346,183 4,038,550 2,019,275 6,057,826 3,028,913 9,086,740 4,543,370 2,271,685 6,815,056 3,407,528 1,703,764 851,882 425,941 1,277,824 638,912 319,456 159,728 79,864 39,932 19,966 9,983 29,950 14,975 44,926 22,463 67,390

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