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2,469,780

22 × 32 × 5 × 13721
Abundant Even Composite

2,469,780 factors as 2^2 × 3^2 × 5 × 13721. Its 36 positive divisors give a proper-divisor sum of 5,022,432, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,492,212
Proper Divisor Sum 5,022,432
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2469757 ← → #2469781

Radix Representation

Decimal 2469780
Binary 1001011010111110010100 (22 bits)
Octal 0o11327624
Hexadecimal 0x25AF94

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13,721 27,442 41,163 54,884 68,605 82,326 123,489 137,210 164,652 205,815 246,978 274,420 411,630 493,956 617,445 823,260 1,234,890 2,469,780

Collatz Trajectory (117 steps to reach 1)

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

2,469,780 1,234,890 617,445 1,852,336 926,168 463,084 231,542 115,771 347,314 173,657 520,972 260,486 130,243 390,730 195,365 586,096 293,048 146,524 73,262 36,631 109,894 54,947 164,842 82,421 247,264 123,632 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012

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