λ
Ratio Atlas

777,234

2 × 3 × 129539
Abundant Even Composite

777,234 factors as 2 × 3 × 129539. Its 8 positive divisors give a proper-divisor sum of 777,246, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3 × 129539
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,554,480
Proper Divisor Sum 777,246
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #777221 ← → #777241

Radix Representation

Decimal 777234
Binary 10111101110000010010 (20 bits)
Octal 0o2756022
Hexadecimal 0xBDC12

Divisor Catalog (8)

1 2 3 6 129,539 259,078 388,617 777,234

Collatz Trajectory (118 steps to reach 1)

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

777,234 388,617 1,165,852 582,926 291,463 874,390 437,195 1,311,586 655,793 1,967,380 983,690 491,845 1,475,536 737,768 368,884 184,442 92,221 276,664 138,332 69,166 34,583 103,750 51,875 155,626 77,813 233,440 116,720 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497

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