λ
Integer Codex

2,837,963

17 × 139 × 1201
Deficient Odd Composite

For 2,837,963, the 8 positive divisors have a total of 3,029,040. Removing 2,837,963 leaves 191,077, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 139 × 1201
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,029,040
Proper Divisor Sum 191,077
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2837953 ← → #2837977

Radix Representation

Decimal 2837963
Binary 1010110100110111001011 (22 bits)
Octal 0o12646713
Hexadecimal 0x2B4DCB

Divisor Catalog (8)

1 17 139 1,201 2,363 20,417 166,939 2,837,963

Collatz Trajectory (169 steps to reach 1)

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

2,837,963 8,513,890 4,256,945 12,770,836 6,385,418 3,192,709 9,578,128 4,789,064 2,394,532 1,197,266 598,633 1,795,900 897,950 448,975 1,346,926 673,463 2,020,390 1,010,195 3,030,586 1,515,293 4,545,880 2,272,940 1,136,470 568,235 1,704,706 852,353 2,557,060 1,278,530 639,265 1,917,796 958,898 479,449 1,438,348 719,174 359,587 1,078,762 539,381 1,618,144 809,072 404,536 202,268 101,134 50,567 151,702 75,851 227,554 113,777 341,332 170,666 85,333 256,000 128,000 64,000 32,000 16,000 8,000 4,000 2,000 1,000 500

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