λ
Sigma Notebook

718,215

3 × 5 × 47881
Deficient Odd Composite

718,215 is odd and not a perfect square. Its factorization is 3 × 5 × 47881 and its 8 divisors sum to 1,149,168.

Prime Factor Structure

Factorization String 3 × 5 × 47881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,149,168
Proper Divisor Sum 430,953
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #718187 ← → #718241

Radix Representation

Decimal 718215
Binary 10101111010110000111 (20 bits)
Octal 0o2572607
Hexadecimal 0xAF587

Divisor Catalog (8)

1 3 5 15 47,881 143,643 239,405 718,215

Collatz Trajectory (74 steps to reach 1)

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

718,215 2,154,646 1,077,323 3,231,970 1,615,985 4,847,956 2,423,978 1,211,989 3,635,968 1,817,984 908,992 454,496 227,248 113,624 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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