λ
Integer Codex

2,957,963

2957963
Deficient Odd Prime

For 2,957,963, the 2 positive divisors have a total of 2,957,964. Removing 2,957,963 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2957963
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,957,964
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2957947 ← → #2958019

Radix Representation

Decimal 2957963
Binary 1011010010001010001011 (22 bits)
Octal 0o13221213
Hexadecimal 0x2D228B

Divisor Catalog (2)

Collatz Trajectory (182 steps to reach 1)

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

2,957,963 8,873,890 4,436,945 13,310,836 6,655,418 3,327,709 9,983,128 4,991,564 2,495,782 1,247,891 3,743,674 1,871,837 5,615,512 2,807,756 1,403,878 701,939 2,105,818 1,052,909 3,158,728 1,579,364 789,682 394,841 1,184,524 592,262 296,131 888,394 444,197 1,332,592 666,296 333,148 166,574 83,287 249,862 124,931 374,794 187,397 562,192 281,096 140,548 70,274 35,137 105,412 52,706 26,353 79,060 39,530 19,765 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130

More profiles

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