λ
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3,902,180

22 × 5 × 17 × 23 × 499
Abundant Even Composite

3,902,180 factors as 2^2 × 5 × 17 × 23 × 499. Its 48 positive divisors give a proper-divisor sum of 5,169,820, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 23 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,072,000
Proper Divisor Sum 5,169,820
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3902167 ← → #3902209

Radix Representation

Decimal 3902180
Binary 1110111000101011100100 (22 bits)
Octal 0o16705344
Hexadecimal 0x3B8AE4

Divisor Catalog (48)

1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 499 782 998 1,564 1,955 1,996 2,495 3,910 4,990 7,820 8,483 9,980 11,477 16,966 22,954 33,932 42,415 45,908 57,385 84,830 114,770 169,660 195,109 229,540 390,218 780,436 975,545 1,951,090 3,902,180

Collatz Trajectory (97 steps to reach 1)

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

3,902,180 1,951,090 975,545 2,926,636 1,463,318 731,659 2,194,978 1,097,489 3,292,468 1,646,234 823,117 2,469,352 1,234,676 617,338 308,669 926,008 463,004 231,502 115,751 347,254 173,627 520,882 260,441 781,324 390,662 195,331 585,994 292,997 878,992 439,496 219,748 109,874 54,937 164,812 82,406 41,203 123,610 61,805 185,416 92,708 46,354 23,177 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752

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