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Atlas › Integer Profiles › Node 8,736,366

8,736,366

2 × 3 × 23 × 29 × 37 × 59
Abundant Even Composite

8,736,366 factors as 2 × 3 × 23 × 29 × 37 × 59. Its 64 positive divisors give a proper-divisor sum of 10,962,834, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 29 × 37 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,699,200
Proper Divisor Sum 10,962,834
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8736341 ← → #8736367

Radix Representation

Decimal 8736366
Binary 100001010100111001101110 (24 bits)
Octal 0o41247156
Hexadecimal 0x854E6E

Divisor Catalog (60 of 64)

1 2 3 6 23 29 37 46 58 59 69 74 87 111 118 138 174 177 222 354 667 851 1,073 1,334 1,357 1,702 1,711 2,001 2,146 2,183 2,553 2,714 3,219 3,422 4,002 4,071 4,366 5,106 5,133 6,438 6,549 8,142 10,266 13,098 24,679 39,353 49,358 50,209 63,307 74,037 78,706 100,418 118,059 126,614 148,074 150,627 189,921 236,118 301,254 379,842

Collatz Trajectory (88 steps to reach 1)

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

8,736,366 4,368,183 13,104,550 6,552,275 19,656,826 9,828,413 29,485,240 14,742,620 7,371,310 3,685,655 11,056,966 5,528,483 16,585,450 8,292,725 24,878,176 12,439,088 6,219,544 3,109,772 1,554,886 777,443 2,332,330 1,166,165 3,498,496 1,749,248 874,624 437,312 218,656 109,328 54,664 27,332 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43

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