λ
Sequence Observatory

2,593,446

2 × 3 × 432241
Abundant Even Composite

Starting at 2,593,446, the Collatz iteration reaches 1 after 187 steps. The first transition is 1296723; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 432241
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,186,904
Proper Divisor Sum 2,593,458
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2593439 ← → #2593453

Radix Representation

Decimal 2593446
Binary 1001111001001010100110 (22 bits)
Octal 0o11711246
Hexadecimal 0x2792A6

Divisor Catalog (8)

1 2 3 6 432,241 864,482 1,296,723 2,593,446

Collatz Trajectory (187 steps to reach 1)

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

2,593,446 1,296,723 3,890,170 1,945,085 5,835,256 2,917,628 1,458,814 729,407 2,188,222 1,094,111 3,282,334 1,641,167 4,923,502 2,461,751 7,385,254 3,692,627 11,077,882 5,538,941 16,616,824 8,308,412 4,154,206 2,077,103 6,231,310 3,115,655 9,346,966 4,673,483 14,020,450 7,010,225 21,030,676 10,515,338 5,257,669 15,773,008 7,886,504 3,943,252 1,971,626 985,813 2,957,440 1,478,720 739,360 369,680 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457

More profiles

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