λ
Sequence Observatory

2,589,917

11 × 235447
Deficient Odd Composite

Starting at 2,589,917, the Collatz iteration reaches 1 after 187 steps. The first transition is 7769752; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 235447
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,825,376
Proper Divisor Sum 235,459
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2589913 ← → #2589931

Radix Representation

Decimal 2589917
Binary 1001111000010011011101 (22 bits)
Octal 0o11702335
Hexadecimal 0x2784DD

Divisor Catalog (4)

1 11 235,447 2,589,917

Collatz Trajectory (187 steps to reach 1)

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

2,589,917 7,769,752 3,884,876 1,942,438 971,219 2,913,658 1,456,829 4,370,488 2,185,244 1,092,622 546,311 1,638,934 819,467 2,458,402 1,229,201 3,687,604 1,843,802 921,901 2,765,704 1,382,852 691,426 345,713 1,037,140 518,570 259,285 777,856 388,928 194,464 97,232 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740

More profiles

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