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Atlas › Integer Profiles › Node 4,587,688

4,587,688

23 × 7 × 17 × 61 × 79
Abundant Even Composite

4,587,688 factors as 2^3 × 7 × 17 × 61 × 79. Its 64 positive divisors give a proper-divisor sum of 6,125,912, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 61 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,713,600
Proper Divisor Sum 6,125,912
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #4587679 ← → #4587703

Radix Representation

Decimal 4587688
Binary 10001100000000010101000 (23 bits)
Octal 0o21400250
Hexadecimal 0x4600A8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 17 28 34 56 61 68 79 119 122 136 158 238 244 316 427 476 488 553 632 854 952 1,037 1,106 1,343 1,708 2,074 2,212 2,686 3,416 4,148 4,424 4,819 5,372 7,259 8,296 9,401 9,638 10,744 14,518 18,802 19,276 29,036 33,733 37,604 38,552 58,072 67,466 75,208 81,923 134,932 163,846 269,864 327,692 573,461

Collatz Trajectory (100 steps to reach 1)

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

4,587,688 2,293,844 1,146,922 573,461 1,720,384 860,192 430,096 215,048 107,524 53,762 26,881 80,644 40,322 20,161 60,484 30,242 15,121 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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