λ
Sequence Observatory

265,378

2 × 132689
Deficient Even Composite

Starting at 265,378, the Collatz iteration reaches 1 after 101 steps. The first transition is 132689; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 132689
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 398,070
Proper Divisor Sum 132,692
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #265339 ← → #265381

Radix Representation

Decimal 265378
Binary 1000000110010100010 (19 bits)
Octal 0o1006242
Hexadecimal 0x40CA2

Divisor Catalog (4)

1 2 132,689 265,378

Collatz Trajectory (101 steps to reach 1)

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

265,378 132,689 398,068 199,034 99,517 298,552 149,276 74,638 37,319 111,958 55,979 167,938 83,969 251,908 125,954 62,977 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684

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