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Atlas › Integer Profiles › Node 8,792,004

8,792,004

22 × 3 × 13 × 56359
Abundant Even Composite

8,792,004 factors as 2^2 × 3 × 13 × 56359. Its 24 positive divisors give a proper-divisor sum of 13,301,116, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 56359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,093,120
Proper Divisor Sum 13,301,116
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8791987 ← → #8792027

Radix Representation

Decimal 8792004
Binary 100001100010011111000100 (24 bits)
Octal 0o41423704
Hexadecimal 0x8627C4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 56,359 112,718 169,077 225,436 338,154 676,308 732,667 1,465,334 2,198,001 2,930,668 4,396,002 8,792,004

Collatz Trajectory (181 steps to reach 1)

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

8,792,004 4,396,002 2,198,001 6,594,004 3,297,002 1,648,501 4,945,504 2,472,752 1,236,376 618,188 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552

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