λ
Sigma Notebook

1,274,821

23 × 43 × 1289
Deficient Odd Composite

1,274,821 is odd and not a perfect square. Its factorization is 23 × 43 × 1289 and its 8 divisors sum to 1,362,240.

Prime Factor Structure

Factorization String 23 × 43 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,362,240
Proper Divisor Sum 87,419
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1274803 ← → #1274851

Radix Representation

Decimal 1274821
Binary 100110111001111000101 (21 bits)
Octal 0o4671705
Hexadecimal 0x1373C5

Divisor Catalog (8)

1 23 43 989 1,289 29,647 55,427 1,274,821

Collatz Trajectory (80 steps to reach 1)

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

1,274,821 3,824,464 1,912,232 956,116 478,058 239,029 717,088 358,544 179,272 89,636 44,818 22,409 67,228 33,614 16,807 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38

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