λ
Sequence Observatory

2,793,763

7 × 172 × 1381
Deficient Odd Composite

Starting at 2,793,763, the Collatz iteration reaches 1 after 182 steps. The first transition is 8381290; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 17^2 × 1381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,394,192
Proper Divisor Sum 600,429
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2793737 ← → #2793793

Radix Representation

Decimal 2793763
Binary 1010101010000100100011 (22 bits)
Octal 0o12520443
Hexadecimal 0x2AA123

Divisor Catalog (12)

1 7 17 119 289 1,381 2,023 9,667 23,477 164,339 399,109 2,793,763

Collatz Trajectory (182 steps to reach 1)

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

2,793,763 8,381,290 4,190,645 12,571,936 6,285,968 3,142,984 1,571,492 785,746 392,873 1,178,620 589,310 294,655 883,966 441,983 1,325,950 662,975 1,988,926 994,463 2,983,390 1,491,695 4,475,086 2,237,543 6,712,630 3,356,315 10,068,946 5,034,473 15,103,420 7,551,710 3,775,855 11,327,566 5,663,783 16,991,350 8,495,675 25,487,026 12,743,513 38,230,540 19,115,270 9,557,635 28,672,906 14,336,453 43,009,360 21,504,680 10,752,340 5,376,170 2,688,085 8,064,256 4,032,128 2,016,064 1,008,032 504,016 252,008 126,004 63,002 31,501 94,504 47,252 23,626 11,813 35,440 17,720

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