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Atlas › Integer Profiles › Node 10,789,408

10,789,408

25 × 73 × 983
Abundant Even Composite

10,789,408 factors as 2^5 × 7^3 × 983. Its 48 positive divisors give a proper-divisor sum of 14,007,392, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^5 × 7^3 × 983
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,796,800
Proper Divisor Sum 14,007,392
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #10789379 ← → #10789411

Radix Representation

Decimal 10789408
Binary 101001001010001000100000 (24 bits)
Octal 0o51121040
Hexadecimal 0xA4A220

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 983 1,372 1,568 1,966 2,744 3,932 5,488 6,881 7,864 10,976 13,762 15,728 27,524 31,456 48,167 55,048 96,334 110,096 192,668 220,192 337,169 385,336 674,338 770,672 1,348,676 1,541,344 2,697,352 5,394,704 10,789,408

Collatz Trajectory (96 steps to reach 1)

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

10,789,408 5,394,704 2,697,352 1,348,676 674,338 337,169 1,011,508 505,754 252,877 758,632 379,316 189,658 94,829 284,488 142,244 71,122 35,561 106,684 53,342 26,671 80,014 40,007 120,022 60,011 180,034 90,017 270,052 135,026 67,513 202,540 101,270 50,635 151,906 75,953 227,860 113,930 56,965 170,896 85,448 42,724 21,362 10,681 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317

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