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Atlas › Integer Profiles › Node 2,014,845

2,014,845

3 × 5 × 7 × 31 × 619
Deficient Odd Composite

2,014,845 factors as 3 × 5 × 7 × 31 × 619. Its 32 positive divisors give a proper-divisor sum of 1,794,435, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 31 × 619
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,809,280
Proper Divisor Sum 1,794,435
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2014819 ← → #2014853

Radix Representation

Decimal 2014845
Binary 111101011111001111101 (21 bits)
Octal 0o7537175
Hexadecimal 0x1EBE7D

Divisor Catalog (32)

1 3 5 7 15 21 31 35 93 105 155 217 465 619 651 1,085 1,857 3,095 3,255 4,333 9,285 12,999 19,189 21,665 57,567 64,995 95,945 134,323 287,835 402,969 671,615 2,014,845

Collatz Trajectory (197 steps to reach 1)

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

2,014,845 6,044,536 3,022,268 1,511,134 755,567 2,266,702 1,133,351 3,400,054 1,700,027 5,100,082 2,550,041 7,650,124 3,825,062 1,912,531 5,737,594 2,868,797 8,606,392 4,303,196 2,151,598 1,075,799 3,227,398 1,613,699 4,841,098 2,420,549 7,261,648 3,630,824 1,815,412 907,706 453,853 1,361,560 680,780 340,390 170,195 510,586 255,293 765,880 382,940 191,470 95,735 287,206 143,603 430,810 215,405 646,216 323,108 161,554 80,777 242,332 121,166 60,583 181,750 90,875 272,626 136,313 408,940 204,470 102,235 306,706 153,353 460,060

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