λ
Sequence Observatory

2,723,458

2 × 53 × 25693
Deficient Even Composite

Starting at 2,723,458, the Collatz iteration reaches 1 after 107 steps. The first transition is 1361729; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 25693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,162,428
Proper Divisor Sum 1,438,970
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2723447 ← → #2723473

Radix Representation

Decimal 2723458
Binary 1010011000111010000010 (22 bits)
Octal 0o12307202
Hexadecimal 0x298E82

Divisor Catalog (8)

1 2 53 106 25,693 51,386 1,361,729 2,723,458

Collatz Trajectory (107 steps to reach 1)

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

2,723,458 1,361,729 4,085,188 2,042,594 1,021,297 3,063,892 1,531,946 765,973 2,297,920 1,148,960 574,480 287,240 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481

More profiles

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