λ
Sigma Notebook

920,686

2 × 13 × 17 × 2083
Deficient Even Composite

920,686 is even and not a perfect square. Its factorization is 2 × 13 × 17 × 2083 and its 16 divisors sum to 1,575,504.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,575,504
Proper Divisor Sum 654,818
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #920677 ← → #920687

Radix Representation

Decimal 920686
Binary 11100000110001101110 (20 bits)
Octal 0o3406156
Hexadecimal 0xE0C6E

Divisor Catalog (16)

1 2 13 17 26 34 221 442 2,083 4,166 27,079 35,411 54,158 70,822 460,343 920,686

Collatz Trajectory (276 steps to reach 1)

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

920,686 460,343 1,381,030 690,515 2,071,546 1,035,773 3,107,320 1,553,660 776,830 388,415 1,165,246 582,623 1,747,870 873,935 2,621,806 1,310,903 3,932,710 1,966,355 5,899,066 2,949,533 8,848,600 4,424,300 2,212,150 1,106,075 3,318,226 1,659,113 4,977,340 2,488,670 1,244,335 3,733,006 1,866,503 5,599,510 2,799,755 8,399,266 4,199,633 12,598,900 6,299,450 3,149,725 9,449,176 4,724,588 2,362,294 1,181,147 3,543,442 1,771,721 5,315,164 2,657,582 1,328,791 3,986,374 1,993,187 5,979,562 2,989,781 8,969,344 4,484,672 2,242,336 1,121,168 560,584 280,292 140,146 70,073 210,220

More profiles

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