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Atlas › Integer Profiles › Node 2,799,584

2,799,584

25 × 89 × 983
Deficient Even Composite

2,799,584 factors as 2^5 × 89 × 983. Its 24 positive divisors give a proper-divisor sum of 2,779,696, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^5 × 89 × 983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,579,280
Proper Divisor Sum 2,779,696
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2799581 ← → #2799607

Radix Representation

Decimal 2799584
Binary 1010101011011111100000 (22 bits)
Octal 0o12533740
Hexadecimal 0x2AB7E0

Divisor Catalog (24)

1 2 4 8 16 32 89 178 356 712 983 1,424 1,966 2,848 3,932 7,864 15,728 31,456 87,487 174,974 349,948 699,896 1,399,792 2,799,584

Collatz Trajectory (231 steps to reach 1)

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

2,799,584 1,399,792 699,896 349,948 174,974 87,487 262,462 131,231 393,694 196,847 590,542 295,271 885,814 442,907 1,328,722 664,361 1,993,084 996,542 498,271 1,494,814 747,407 2,242,222 1,121,111 3,363,334 1,681,667 5,045,002 2,522,501 7,567,504 3,783,752 1,891,876 945,938 472,969 1,418,908 709,454 354,727 1,064,182 532,091 1,596,274 798,137 2,394,412 1,197,206 598,603 1,795,810 897,905 2,693,716 1,346,858 673,429 2,020,288 1,010,144 505,072 252,536 126,268 63,134 31,567 94,702 47,351 142,054 71,027 213,082 106,541

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