λ
Prime Ledger

8,615,620

22 × 5 × 132 × 2549
Abundant Even Composite

8,615,620 has the prime decomposition 2^2 × 5 × 13^2 × 2549. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 2549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,599,300
Proper Divisor Sum 10,983,680
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8615591 ← → #8615623

Radix Representation

Decimal 8615620
Binary 100000110111011011000100 (24 bits)
Octal 0o40673304
Hexadecimal 0x8376C4

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1,690 2,549 3,380 5,098 10,196 12,745 25,490 33,137 50,980 66,274 132,548 165,685 331,370 430,781 662,740 861,562 1,723,124 2,153,905 4,307,810 8,615,620

Collatz Trajectory (75 steps to reach 1)

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

8,615,620 4,307,810 2,153,905 6,461,716 3,230,858 1,615,429 4,846,288 2,423,144 1,211,572 605,786 302,893 908,680 454,340 227,170 113,585 340,756 170,378 85,189 255,568 127,784 63,892 31,946 15,973 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44

More profiles

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