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Atlas › Integer Profiles › Node 4,942,008

4,942,008

23 × 32 × 68639
Abundant Even Composite

4,942,008 factors as 2^3 × 3^2 × 68639. Its 24 positive divisors give a proper-divisor sum of 8,442,792, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 68639
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,384,800
Proper Divisor Sum 8,442,792
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4941983 ← → #4942013

Radix Representation

Decimal 4942008
Binary 10010110110100010111000 (23 bits)
Octal 0o22664270
Hexadecimal 0x4B68B8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 68,639 137,278 205,917 274,556 411,834 549,112 617,751 823,668 1,235,502 1,647,336 2,471,004 4,942,008

Collatz Trajectory (237 steps to reach 1)

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

4,942,008 2,471,004 1,235,502 617,751 1,853,254 926,627 2,779,882 1,389,941 4,169,824 2,084,912 1,042,456 521,228 260,614 130,307 390,922 195,461 586,384 293,192 146,596 73,298 36,649 109,948 54,974 27,487 82,462 41,231 123,694 61,847 185,542 92,771 278,314 139,157 417,472 208,736 104,368 52,184 26,092 13,046 6,523 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871

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