λ
Sequence Observatory

2,780,579

41 × 67819
Deficient Odd Composite

Starting at 2,780,579, the Collatz iteration reaches 1 after 169 steps. The first transition is 8341738; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 67819
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,848,440
Proper Divisor Sum 67,861
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2780527 ← → #2780597

Radix Representation

Decimal 2780579
Binary 1010100110110110100011 (22 bits)
Octal 0o12466643
Hexadecimal 0x2A6DA3

Divisor Catalog (4)

1 41 67,819 2,780,579

Collatz Trajectory (169 steps to reach 1)

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

2,780,579 8,341,738 4,170,869 12,512,608 6,256,304 3,128,152 1,564,076 782,038 391,019 1,173,058 586,529 1,759,588 879,794 439,897 1,319,692 659,846 329,923 989,770 494,885 1,484,656 742,328 371,164 185,582 92,791 278,374 139,187 417,562 208,781 626,344 313,172 156,586 78,293 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82

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