λ
Sigma Notebook

720,818

2 × 7 × 51487
Deficient Even Composite

720,818 is even and not a perfect square. Its factorization is 2 × 7 × 51487 and its 8 divisors sum to 1,235,712.

Prime Factor Structure

Factorization String 2 × 7 × 51487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,235,712
Proper Divisor Sum 514,894
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #720793 ← → #720829

Radix Representation

Decimal 720818
Binary 10101111111110110010 (20 bits)
Octal 0o2577662
Hexadecimal 0xAFFB2

Divisor Catalog (8)

1 2 7 14 51,487 102,974 360,409 720,818

Collatz Trajectory (167 steps to reach 1)

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

720,818 360,409 1,081,228 540,614 270,307 810,922 405,461 1,216,384 608,192 304,096 152,048 76,024 38,012 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576

More profiles

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