λ
Sequence Observatory

2,426,111

29 × 269 × 311
Deficient Odd Composite

Starting at 2,426,111, the Collatz iteration reaches 1 after 298 steps. The first transition is 7278334; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 269 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,527,200
Proper Divisor Sum 101,089
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2426107 ← → #2426113

Radix Representation

Decimal 2426111
Binary 1001010000010011111111 (22 bits)
Octal 0o11202377
Hexadecimal 0x2504FF

Divisor Catalog (8)

1 29 269 311 7,801 9,019 83,659 2,426,111

Collatz Trajectory (298 steps to reach 1)

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

2,426,111 7,278,334 3,639,167 10,917,502 5,458,751 16,376,254 8,188,127 24,564,382 12,282,191 36,846,574 18,423,287 55,269,862 27,634,931 82,904,794 41,452,397 124,357,192 62,178,596 31,089,298 15,544,649 46,633,948 23,316,974 11,658,487 34,975,462 17,487,731 52,463,194 26,231,597 78,694,792 39,347,396 19,673,698 9,836,849 29,510,548 14,755,274 7,377,637 22,132,912 11,066,456 5,533,228 2,766,614 1,383,307 4,149,922 2,074,961 6,224,884 3,112,442 1,556,221 4,668,664 2,334,332 1,167,166 583,583 1,750,750 875,375 2,626,126 1,313,063 3,939,190 1,969,595 5,908,786 2,954,393 8,863,180 4,431,590 2,215,795 6,647,386 3,323,693

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