λ
Sequence Observatory
Atlas › Integer Profiles › Node 774,048

774,048

25 × 3 × 11 × 733
Abundant Even Composite

Starting at 774,048, the Collatz iteration reaches 1 after 100 steps. The first transition is 387024; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,219,616
Proper Divisor Sum 1,445,568
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #774047 ← → #774071

Radix Representation

Decimal 774048
Binary 10111100111110100000 (20 bits)
Octal 0o2747640
Hexadecimal 0xBCFA0

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 733 1,056 1,466 2,199 2,932 4,398 5,864 8,063 8,796 11,728 16,126 17,592 23,456 24,189 32,252 35,184 48,378 64,504 70,368 96,756 129,008 193,512 258,016 387,024 774,048

Collatz Trajectory (100 steps to reach 1)

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

774,048 387,024 193,512 96,756 48,378 24,189 72,568 36,284 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524

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