λ
Math Directory

2,588,393

199 × 13007
Deficient Odd Composite

2,588,393 factors as 199 × 13007. Its 4 positive divisors give a proper-divisor sum of 13,207, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 199 × 13007
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,601,600
Proper Divisor Sum 13,207
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2588363 ← → #2588401

Radix Representation

Decimal 2588393
Binary 1001110111111011101001 (22 bits)
Octal 0o11677351
Hexadecimal 0x277EE9

Divisor Catalog (4)

1 199 13,007 2,588,393

Collatz Trajectory (99 steps to reach 1)

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

2,588,393 7,765,180 3,882,590 1,941,295 5,823,886 2,911,943 8,735,830 4,367,915 13,103,746 6,551,873 19,655,620 9,827,810 4,913,905 14,741,716 7,370,858 3,685,429 11,056,288 5,528,144 2,764,072 1,382,036 691,018 345,509 1,036,528 518,264 259,132 129,566 64,783 194,350 97,175 291,526 145,763 437,290 218,645 655,936 327,968 163,984 81,992 40,996 20,498 10,249 30,748 15,374 7,687 23,062 11,531 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737

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