λ
Sigma Notebook

5,712,280

23 × 5 × 7 × 23 × 887
Abundant Even Composite

5,712,280 is even and not a perfect square. Its factorization is 2^3 × 5 × 7 × 23 × 887 and its 64 divisors sum to 15,344,640.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 23 × 887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,344,640
Proper Divisor Sum 9,632,360
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5712271 ← → #5712283

Radix Representation

Decimal 5712280
Binary 10101110010100110011000 (23 bits)
Octal 0o25624630
Hexadecimal 0x572998

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 887 920 1,288 1,610 1,774 3,220 3,548 4,435 6,209 6,440 7,096 8,870 12,418 17,740 20,401 24,836 31,045 35,480 40,802 49,672 62,090 81,604 102,005 124,180 142,807 163,208 204,010 248,360 285,614 408,020 571,228 714,035 816,040

Collatz Trajectory (152 steps to reach 1)

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

5,712,280 2,856,140 1,428,070 714,035 2,142,106 1,071,053 3,213,160 1,606,580 803,290 401,645 1,204,936 602,468 301,234 150,617 451,852 225,926 112,963 338,890 169,445 508,336 254,168 127,084 63,542 31,771 95,314 47,657 142,972 71,486 35,743 107,230 53,615 160,846 80,423 241,270 120,635 361,906 180,953 542,860 271,430 135,715 407,146 203,573 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007

More profiles

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