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Atlas › Integer Profiles › Node 2,629,781

2,629,781

73 × 11 × 17 × 41
Deficient Odd Composite

2,629,781 factors as 7^3 × 11 × 17 × 41. Its 32 positive divisors give a proper-divisor sum of 999,019, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 7^3 × 11 × 17 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,628,800
Proper Divisor Sum 999,019
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2629777 ← → #2629787

Radix Representation

Decimal 2629781
Binary 1010000010000010010101 (22 bits)
Octal 0o12020225
Hexadecimal 0x282095

Divisor Catalog (32)

1 7 11 17 41 49 77 119 187 287 343 451 539 697 833 1,309 2,009 3,157 3,773 4,879 5,831 7,667 9,163 14,063 22,099 34,153 53,669 64,141 154,693 239,071 375,683 2,629,781

Collatz Trajectory (143 steps to reach 1)

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

2,629,781 7,889,344 3,944,672 1,972,336 986,168 493,084 246,542 123,271 369,814 184,907 554,722 277,361 832,084 416,042 208,021 624,064 312,032 156,016 78,008 39,004 19,502 9,751 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466

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