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2,480,992

25 × 31 × 41 × 61
Abundant Even Composite

2,480,992 factors as 2^5 × 31 × 41 × 61. Its 48 positive divisors give a proper-divisor sum of 2,768,672, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^5 × 31 × 41 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,249,664
Proper Divisor Sum 2,768,672
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2480981 ← → #2481013

Radix Representation

Decimal 2480992
Binary 1001011101101101100000 (22 bits)
Octal 0o11355540
Hexadecimal 0x25DB60

Divisor Catalog (48)

1 2 4 8 16 31 32 41 61 62 82 122 124 164 244 248 328 488 496 656 976 992 1,271 1,312 1,891 1,952 2,501 2,542 3,782 5,002 5,084 7,564 10,004 10,168 15,128 20,008 20,336 30,256 40,016 40,672 60,512 77,531 80,032 155,062 310,124 620,248 1,240,496 2,480,992

Collatz Trajectory (81 steps to reach 1)

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

2,480,992 1,240,496 620,248 310,124 155,062 77,531 232,594 116,297 348,892 174,446 87,223 261,670 130,835 392,506 196,253 588,760 294,380 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386 124,193 372,580 186,290 93,145 279,436 139,718 69,859 209,578 104,789 314,368 157,184 78,592 39,296 19,648 9,824 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74

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