λ
Integer Codex

9,501,048

23 × 32 × 131959
Abundant Even Composite

For 9,501,048, the 24 positive divisors have a total of 25,732,200. Removing 9,501,048 leaves 16,231,152, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 131959
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,732,200
Proper Divisor Sum 16,231,152
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9501043 ← → #9501049

Radix Representation

Decimal 9501048
Binary 100100001111100101111000 (24 bits)
Octal 0o44174570
Hexadecimal 0x90F978

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 131,959 263,918 395,877 527,836 791,754 1,055,672 1,187,631 1,583,508 2,375,262 3,167,016 4,750,524 9,501,048

Collatz Trajectory (101 steps to reach 1)

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

9,501,048 4,750,524 2,375,262 1,187,631 3,562,894 1,781,447 5,344,342 2,672,171 8,016,514 4,008,257 12,024,772 6,012,386 3,006,193 9,018,580 4,509,290 2,254,645 6,763,936 3,381,968 1,690,984 845,492 422,746 211,373 634,120 317,060 158,530 79,265 237,796 118,898 59,449 178,348 89,174 44,587 133,762 66,881 200,644 100,322 50,161 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048

More profiles

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