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Atlas › Integer Profiles › Node 3,823,968

3,823,968

25 × 3 × 61 × 653
Abundant Even Composite

3,823,968 factors as 2^5 × 3 × 61 × 653. Its 48 positive divisors give a proper-divisor sum of 6,394,128, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 61 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,218,096
Proper Divisor Sum 6,394,128
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3823951 ← → #3823973

Radix Representation

Decimal 3823968
Binary 1110100101100101100000 (22 bits)
Octal 0o16454540
Hexadecimal 0x3A5960

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 653 732 976 1,306 1,464 1,952 1,959 2,612 2,928 3,918 5,224 5,856 7,836 10,448 15,672 20,896 31,344 39,833 62,688 79,666 119,499 159,332 238,998 318,664 477,996 637,328 955,992 1,274,656 1,911,984 3,823,968

Collatz Trajectory (79 steps to reach 1)

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

3,823,968 1,911,984 955,992 477,996 238,998 119,499 358,498 179,249 537,748 268,874 134,437 403,312 201,656 100,828 50,414 25,207 75,622 37,811 113,434 56,717 170,152 85,076 42,538 21,269 63,808 31,904 15,952 7,976 3,988 1,994 997 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19

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