λ
Sequence Observatory

2,837,723

7 × 59 × 6871
Deficient Odd Composite

Starting at 2,837,723, the Collatz iteration reaches 1 after 306 steps. The first transition is 8513170; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 59 × 6871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,298,560
Proper Divisor Sum 460,837
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2837713 ← → #2837741

Radix Representation

Decimal 2837723
Binary 1010110100110011011011 (22 bits)
Octal 0o12646333
Hexadecimal 0x2B4CDB

Divisor Catalog (8)

1 7 59 413 6,871 48,097 405,389 2,837,723

Collatz Trajectory (306 steps to reach 1)

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

2,837,723 8,513,170 4,256,585 12,769,756 6,384,878 3,192,439 9,577,318 4,788,659 14,365,978 7,182,989 21,548,968 10,774,484 5,387,242 2,693,621 8,080,864 4,040,432 2,020,216 1,010,108 505,054 252,527 757,582 378,791 1,136,374 568,187 1,704,562 852,281 2,556,844 1,278,422 639,211 1,917,634 958,817 2,876,452 1,438,226 719,113 2,157,340 1,078,670 539,335 1,618,006 809,003 2,427,010 1,213,505 3,640,516 1,820,258 910,129 2,730,388 1,365,194 682,597 2,047,792 1,023,896 511,948 255,974 127,987 383,962 191,981 575,944 287,972 143,986 71,993 215,980 107,990

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