λ
Ratio Atlas

8,596,536

23 × 3 × 13 × 59 × 467
Abundant Even Composite

8,596,536 factors as 2^3 × 3 × 13 × 59 × 467. Its 64 positive divisors give a proper-divisor sum of 14,990,664, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 59 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,587,200
Proper Divisor Sum 14,990,664
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8596529 ← → #8596537

Radix Representation

Decimal 8596536
Binary 100000110010110000111000 (24 bits)
Octal 0o40626070
Hexadecimal 0x832C38

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 467 472 708 767 934 1,401 1,416 1,534 1,868 2,301 2,802 3,068 3,736 4,602 5,604 6,071 6,136 9,204 11,208 12,142 18,213 18,408 24,284 27,553 36,426 48,568 55,106 72,852 82,659 110,212 145,704 165,318 220,424 330,636 358,189 661,272 716,378 1,074,567 1,432,756

Collatz Trajectory (75 steps to reach 1)

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

8,596,536 4,298,268 2,149,134 1,074,567 3,223,702 1,611,851 4,835,554 2,417,777 7,253,332 3,626,666 1,813,333 5,440,000 2,720,000 1,360,000 680,000 340,000 170,000 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44

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