λ
Sequence Observatory

778,363

778363
Deficient Odd Prime

Starting at 778,363, the Collatz iteration reaches 1 after 74 steps. The first transition is 2335090; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 778363
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 778,364
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #778361 ← → #778391

Radix Representation

Decimal 778363
Binary 10111110000001111011 (20 bits)
Octal 0o2760173
Hexadecimal 0xBE07B

Divisor Catalog (2)

1 778,363

Collatz Trajectory (74 steps to reach 1)

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

778,363 2,335,090 1,167,545 3,502,636 1,751,318 875,659 2,626,978 1,313,489 3,940,468 1,970,234 985,117 2,955,352 1,477,676 738,838 369,419 1,108,258 554,129 1,662,388 831,194 415,597 1,246,792 623,396 311,698 155,849 467,548 233,774 116,887 350,662 175,331 525,994 262,997 788,992 394,496 197,248 98,624 49,312 24,656 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23

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