λ
Sigma Notebook

1,867,692

22 × 3 × 23 × 67 × 101
Abundant Even Composite

1,867,692 is even and not a perfect square. Its factorization is 2^2 × 3 × 23 × 67 × 101 and its 48 divisors sum to 4,660,992.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 67 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,660,992
Proper Divisor Sum 2,793,300
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1867651 ← → #1867693

Radix Representation

Decimal 1867692
Binary 111000111111110101100 (21 bits)
Octal 0o7077654
Hexadecimal 0x1C7FAC

Divisor Catalog (48)

1 2 3 4 6 12 23 46 67 69 92 101 134 138 201 202 268 276 303 402 404 606 804 1,212 1,541 2,323 3,082 4,623 4,646 6,164 6,767 6,969 9,246 9,292 13,534 13,938 18,492 20,301 27,068 27,876 40,602 81,204 155,641 311,282 466,923 622,564 933,846 1,867,692

Collatz Trajectory (370 steps to reach 1)

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

1,867,692 933,846 466,923 1,400,770 700,385 2,101,156 1,050,578 525,289 1,575,868 787,934 393,967 1,181,902 590,951 1,772,854 886,427 2,659,282 1,329,641 3,988,924 1,994,462 997,231 2,991,694 1,495,847 4,487,542 2,243,771 6,731,314 3,365,657 10,096,972 5,048,486 2,524,243 7,572,730 3,786,365 11,359,096 5,679,548 2,839,774 1,419,887 4,259,662 2,129,831 6,389,494 3,194,747 9,584,242 4,792,121 14,376,364 7,188,182 3,594,091 10,782,274 5,391,137 16,173,412 8,086,706 4,043,353 12,130,060 6,065,030 3,032,515 9,097,546 4,548,773 13,646,320 6,823,160 3,411,580 1,705,790 852,895 2,558,686

More profiles

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