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Atlas › Integer Profiles › Node 8,946,848

8,946,848

25 × 29 × 31 × 311
Abundant Even Composite

8,946,848 factors as 2^5 × 29 × 31 × 311. Its 48 positive divisors give a proper-divisor sum of 9,922,912, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 31 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,869,760
Proper Divisor Sum 9,922,912
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8946827 ← → #8946851

Radix Representation

Decimal 8946848
Binary 100010001000010010100000 (24 bits)
Octal 0o42102240
Hexadecimal 0x8884A0

Divisor Catalog (48)

1 2 4 8 16 29 31 32 58 62 116 124 232 248 311 464 496 622 899 928 992 1,244 1,798 2,488 3,596 4,976 7,192 9,019 9,641 9,952 14,384 18,038 19,282 28,768 36,076 38,564 72,152 77,128 144,304 154,256 279,589 288,608 308,512 559,178 1,118,356 2,236,712 4,473,424 8,946,848

Collatz Trajectory (163 steps to reach 1)

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

8,946,848 4,473,424 2,236,712 1,118,356 559,178 279,589 838,768 419,384 209,692 104,846 52,423 157,270 78,635 235,906 117,953 353,860 176,930 88,465 265,396 132,698 66,349 199,048 99,524 49,762 24,881 74,644 37,322 18,661 55,984 27,992 13,996 6,998 3,499 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467

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