λ
Sigma Notebook

1,378,731

3 × 37 × 12421
Deficient Odd Composite

1,378,731 is odd and not a perfect square. Its factorization is 3 × 37 × 12421 and its 8 divisors sum to 1,888,144.

Prime Factor Structure

Factorization String 3 × 37 × 12421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,888,144
Proper Divisor Sum 509,413
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1378721 ← → #1378733

Radix Representation

Decimal 1378731
Binary 101010000100110101011 (21 bits)
Octal 0o5204653
Hexadecimal 0x1509AB

Divisor Catalog (8)

1 3 37 111 12,421 37,263 459,577 1,378,731

Collatz Trajectory (230 steps to reach 1)

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

1,378,731 4,136,194 2,068,097 6,204,292 3,102,146 1,551,073 4,653,220 2,326,610 1,163,305 3,489,916 1,744,958 872,479 2,617,438 1,308,719 3,926,158 1,963,079 5,889,238 2,944,619 8,833,858 4,416,929 13,250,788 6,625,394 3,312,697 9,938,092 4,969,046 2,484,523 7,453,570 3,726,785 11,180,356 5,590,178 2,795,089 8,385,268 4,192,634 2,096,317 6,288,952 3,144,476 1,572,238 786,119 2,358,358 1,179,179 3,537,538 1,768,769 5,306,308 2,653,154 1,326,577 3,979,732 1,989,866 994,933 2,984,800 1,492,400 746,200 373,100 186,550 93,275 279,826 139,913 419,740 209,870 104,935 314,806

More profiles

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