λ
Sequence Observatory

2,549,941

23 × 29 × 3823
Deficient Odd Composite

Starting at 2,549,941, the Collatz iteration reaches 1 after 174 steps. The first transition is 7649824; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 29 × 3823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,753,280
Proper Divisor Sum 203,339
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2549927 ← → #2549951

Radix Representation

Decimal 2549941
Binary 1001101110100010110101 (22 bits)
Octal 0o11564265
Hexadecimal 0x26E8B5

Divisor Catalog (8)

1 23 29 667 3,823 87,929 110,867 2,549,941

Collatz Trajectory (174 steps to reach 1)

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

2,549,941 7,649,824 3,824,912 1,912,456 956,228 478,114 239,057 717,172 358,586 179,293 537,880 268,940 134,470 67,235 201,706 100,853 302,560 151,280 75,640 37,820 18,910 9,455 28,366 14,183 42,550 21,275 63,826 31,913 95,740 47,870 23,935 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392 2,696

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