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Atlas › Integer Profiles › Node 2,987,824

2,987,824

24 × 72 × 37 × 103
Abundant Even Composite

2,987,824 factors as 2^4 × 7^2 × 37 × 103. Its 60 positive divisors give a proper-divisor sum of 3,995,360, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 37 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,983,184
Proper Divisor Sum 3,995,360
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2987821 ← → #2987827

Radix Representation

Decimal 2987824
Binary 1011011001011100110000 (22 bits)
Octal 0o13313460
Hexadecimal 0x2D9730

Divisor Catalog (60)

1 2 4 7 8 14 16 28 37 49 56 74 98 103 112 148 196 206 259 296 392 412 518 592 721 784 824 1,036 1,442 1,648 1,813 2,072 2,884 3,626 3,811 4,144 5,047 5,768 7,252 7,622 10,094 11,536 14,504 15,244 20,188 26,677 29,008 30,488 40,376 53,354 60,976 80,752 106,708 186,739 213,416 373,478 426,832 746,956 1,493,912 2,987,824

Collatz Trajectory (120 steps to reach 1)

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

2,987,824 1,493,912 746,956 373,478 186,739 560,218 280,109 840,328 420,164 210,082 105,041 315,124 157,562 78,781 236,344 118,172 59,086 29,543 88,630 44,315 132,946 66,473 199,420 99,710 49,855 149,566 74,783 224,350 112,175 336,526 168,263 504,790 252,395 757,186 378,593 1,135,780 567,890 283,945 851,836 425,918 212,959 638,878 319,439 958,318 479,159 1,437,478 718,739 2,156,218 1,078,109 3,234,328 1,617,164 808,582 404,291 1,212,874 606,437 1,819,312 909,656 454,828 227,414 113,707

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