826,783

826783

Starting at 826,783, the Collatz iteration reaches 1 after 113 steps. The first transition is 2480350; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 826783

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 826,784

Proper Divisor Sum 1

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #826759 ← → #826799

Radix Representation

Decimal	826783
Binary	11001001110110011111 (20 bits)
Octal	0o3116637
Hexadecimal	0xC9D9F

Divisor Catalog (2)

1 826,783

Collatz Trajectory (113 steps to reach 1)

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

826,783 2,480,350 1,240,175 3,720,526 1,860,263 5,580,790 2,790,395 8,371,186 4,185,593 12,556,780 6,278,390 3,139,195 9,417,586 4,708,793 14,126,380 7,063,190 3,531,595 10,594,786 5,297,393 15,892,180 7,946,090 3,973,045 11,919,136 5,959,568 2,979,784 1,489,892 744,946 372,473 1,117,420 558,710 279,355 838,066 419,033 1,257,100 628,550 314,275 942,826 471,413 1,414,240 707,120 353,560 176,780 88,390 44,195 132,586 66,293 198,880 99,440 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468

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