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Atlas › Integer Profiles › Node 2,492,480

2,492,480

26 × 5 × 7789
Abundant Even Composite

2,492,480 factors as 2^6 × 5 × 7789. Its 28 positive divisors give a proper-divisor sum of 3,443,500, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 7789
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,935,980
Proper Divisor Sum 3,443,500
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2492461 ← → #2492509

Radix Representation

Decimal 2492480
Binary 1001100000100001000000 (22 bits)
Octal 0o11404100
Hexadecimal 0x260840

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 7,789 15,578 31,156 38,945 62,312 77,890 124,624 155,780 249,248 311,560 498,496 623,120 1,246,240 2,492,480

Collatz Trajectory (55 steps to reach 1)

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

2,492,480 1,246,240 623,120 311,560 155,780 77,890 38,945 116,836 58,418 29,209 87,628 43,814 21,907 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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