761,770

2 × 5 × 17 × 4481

Starting at 761,770, the Collatz iteration reaches 1 after 56 steps. The first transition is 380885; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 4481

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,452,168

Proper Divisor Sum 690,398

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #761731 ← → #761773

Radix Representation

Decimal	761770
Binary	10111001111110101010 (20 bits)
Octal	0o2717652
Hexadecimal	0xB9FAA

Divisor Catalog (16)

1 2 5 10 17 34 85 170 4,481 8,962 22,405 44,810 76,177 152,354 380,885 761,770

Collatz Trajectory (56 steps to reach 1)

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

761,770 380,885 1,142,656 571,328 285,664 142,832 71,416 35,708 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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