λ
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4,429,980

22 × 32 × 5 × 24611
Abundant Even Composite

4,429,980 factors as 2^2 × 3^2 × 5 × 24611. Its 36 positive divisors give a proper-divisor sum of 9,008,172, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 24611
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,438,152
Proper Divisor Sum 9,008,172
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4429969 ← → #4429981

Radix Representation

Decimal 4429980
Binary 10000111001100010011100 (23 bits)
Octal 0o20714234
Hexadecimal 0x43989C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 24,611 49,222 73,833 98,444 123,055 147,666 221,499 246,110 295,332 369,165 442,998 492,220 738,330 885,996 1,107,495 1,476,660 2,214,990 4,429,980

Collatz Trajectory (149 steps to reach 1)

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

4,429,980 2,214,990 1,107,495 3,322,486 1,661,243 4,983,730 2,491,865 7,475,596 3,737,798 1,868,899 5,606,698 2,803,349 8,410,048 4,205,024 2,102,512 1,051,256 525,628 262,814 131,407 394,222 197,111 591,334 295,667 887,002 443,501 1,330,504 665,252 332,626 166,313 498,940 249,470 124,735 374,206 187,103 561,310 280,655 841,966 420,983 1,262,950 631,475 1,894,426 947,213 2,841,640 1,420,820 710,410 355,205 1,065,616 532,808 266,404 133,202 66,601 199,804 99,902 49,951 149,854 74,927 224,782 112,391 337,174 168,587

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