λ
Integer Codex

5,671,120

24 × 5 × 7 × 13 × 19 × 41
Abundant Even Composite

For 5,671,120, the 160 positive divisors have a total of 17,498,880. Removing 5,671,120 leaves 11,827,760, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 19 × 41
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 17,498,880
Proper Divisor Sum 11,827,760
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5671117 ← → #5671147

Radix Representation

Decimal 5671120
Binary 10101101000100011010000 (23 bits)
Octal 0o25504320
Hexadecimal 0x5688D0

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 41 52 56 65 70 76 80 82 91 95 104 112 130 133 140 152 164 182 190 205 208 247 260 266 280 287 304 328 364 380 410 455 494 520 532 533 560 574 656 665 728 760 779

Collatz Trajectory (77 steps to reach 1)

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

5,671,120 2,835,560 1,417,780 708,890 354,445 1,063,336 531,668 265,834 132,917 398,752 199,376 99,688 49,844 24,922 12,461 37,384 18,692 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29

More profiles

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