λ
Sigma Notebook

1,240,719

3 × 19 × 21767
Deficient Odd Composite

1,240,719 is odd and not a perfect square. Its factorization is 3 × 19 × 21767 and its 8 divisors sum to 1,741,440.

Prime Factor Structure

Factorization String 3 × 19 × 21767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,741,440
Proper Divisor Sum 500,721
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1240717 ← → #1240739

Radix Representation

Decimal 1240719
Binary 100101110111010001111 (21 bits)
Octal 0o4567217
Hexadecimal 0x12EE8F

Divisor Catalog (8)

1 3 19 57 21,767 65,301 413,573 1,240,719

Collatz Trajectory (111 steps to reach 1)

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

1,240,719 3,722,158 1,861,079 5,583,238 2,791,619 8,374,858 4,187,429 12,562,288 6,281,144 3,140,572 1,570,286 785,143 2,355,430 1,177,715 3,533,146 1,766,573 5,299,720 2,649,860 1,324,930 662,465 1,987,396 993,698 496,849 1,490,548 745,274 372,637 1,117,912 558,956 279,478 139,739 419,218 209,609 628,828 314,414 157,207 471,622 235,811 707,434 353,717 1,061,152 530,576 265,288 132,644 66,322 33,161 99,484 49,742 24,871 74,614 37,307 111,922 55,961 167,884 83,942 41,971 125,914 62,957 188,872 94,436 47,218

More profiles

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