λ
Sigma Notebook

4,787,982

2 × 32 × 17 × 15647
Abundant Even Composite

4,787,982 is even and not a perfect square. Its factorization is 2 × 3^2 × 17 × 15647 and its 24 divisors sum to 10,984,896.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 15647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,984,896
Proper Divisor Sum 6,196,914
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4787971 ← → #4788011

Radix Representation

Decimal 4787982
Binary 10010010000111100001110 (23 bits)
Octal 0o22207416
Hexadecimal 0x490F0E

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 15,647 31,294 46,941 93,882 140,823 265,999 281,646 531,998 797,997 1,595,994 2,393,991 4,787,982

Collatz Trajectory (193 steps to reach 1)

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

4,787,982 2,393,991 7,181,974 3,590,987 10,772,962 5,386,481 16,159,444 8,079,722 4,039,861 12,119,584 6,059,792 3,029,896 1,514,948 757,474 378,737 1,136,212 568,106 284,053 852,160 426,080 213,040 106,520 53,260 26,630 13,315 39,946 19,973 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074

More profiles

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