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Atlas › Integer Profiles › Node 5,771,480

5,771,480

23 × 5 × 11 × 13 × 1009
Abundant Even Composite

5,771,480 factors as 2^3 × 5 × 11 × 13 × 1009. Its 64 positive divisors give a proper-divisor sum of 9,499,720, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13 × 1009
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,271,200
Proper Divisor Sum 9,499,720
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5771461 ← → #5771501

Radix Representation

Decimal 5771480
Binary 10110000001000011011000 (23 bits)
Octal 0o26010330
Hexadecimal 0x5810D8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1,009 1,144 1,430 2,018 2,860 4,036 5,045 5,720 8,072 10,090 11,099 13,117 20,180 22,198 26,234 40,360 44,396 52,468 55,495 65,585 88,792 104,936 110,990 131,170 144,287 221,980 262,340 288,574 443,960 524,680 577,148 721,435

Collatz Trajectory (183 steps to reach 1)

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

5,771,480 2,885,740 1,442,870 721,435 2,164,306 1,082,153 3,246,460 1,623,230 811,615 2,434,846 1,217,423 3,652,270 1,826,135 5,478,406 2,739,203 8,217,610 4,108,805 12,326,416 6,163,208 3,081,604 1,540,802 770,401 2,311,204 1,155,602 577,801 1,733,404 866,702 433,351 1,300,054 650,027 1,950,082 975,041 2,925,124 1,462,562 731,281 2,193,844 1,096,922 548,461 1,645,384 822,692 411,346 205,673 617,020 308,510 154,255 462,766 231,383 694,150 347,075 1,041,226 520,613 1,561,840 780,920 390,460 195,230 97,615 292,846 146,423 439,270 219,635

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