784,903

7 × 112129

Starting at 784,903, the Collatz iteration reaches 1 after 100 steps. The first transition is 2354710; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 112129

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 897,040

Proper Divisor Sum 112,137

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #784897 ← → #784913

Radix Representation

Decimal	784903
Binary	10111111101000000111 (20 bits)
Octal	0o2775007
Hexadecimal	0xBFA07

Divisor Catalog (4)

1 7 112,129 784,903

Collatz Trajectory (100 steps to reach 1)

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

784,903 2,354,710 1,177,355 3,532,066 1,766,033 5,298,100 2,649,050 1,324,525 3,973,576 1,986,788 993,394 496,697 1,490,092 745,046 372,523 1,117,570 558,785 1,676,356 838,178 419,089 1,257,268 628,634 314,317 942,952 471,476 235,738 117,869 353,608 176,804 88,402 44,201 132,604 66,302 33,151 99,454 49,727 149,182 74,591 223,774 111,887 335,662 167,831 503,494 251,747 755,242 377,621 1,132,864 566,432 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958 4,979

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