λ
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5,480,072

23 × 13 × 23 × 29 × 79
Abundant Even Composite

5,480,072 factors as 2^3 × 13 × 23 × 29 × 79. Its 64 positive divisors give a proper-divisor sum of 6,615,928, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 29 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,096,000
Proper Divisor Sum 6,615,928
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5480063 ← → #5480077

Radix Representation

Decimal 5480072
Binary 10100111001111010001000 (23 bits)
Octal 0o24717210
Hexadecimal 0x539E88

Divisor Catalog (60 of 64)

1 2 4 8 13 23 26 29 46 52 58 79 92 104 116 158 184 232 299 316 377 598 632 667 754 1,027 1,196 1,334 1,508 1,817 2,054 2,291 2,392 2,668 3,016 3,634 4,108 4,582 5,336 7,268 8,216 8,671 9,164 14,536 17,342 18,328 23,621 29,783 34,684 47,242 52,693 59,566 69,368 94,484 105,386 119,132 188,968 210,772 238,264 421,544

Collatz Trajectory (201 steps to reach 1)

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

5,480,072 2,740,036 1,370,018 685,009 2,055,028 1,027,514 513,757 1,541,272 770,636 385,318 192,659 577,978 288,989 866,968 433,484 216,742 108,371 325,114 162,557 487,672 243,836 121,918 60,959 182,878 91,439 274,318 137,159 411,478 205,739 617,218 308,609 925,828 462,914 231,457 694,372 347,186 173,593 520,780 260,390 130,195 390,586 195,293 585,880 292,940 146,470 73,235 219,706 109,853 329,560 164,780 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759

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