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Atlas › Integer Profiles › Node 8,523,915

8,523,915

3 × 5 × 23 × 31 × 797
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 23 × 31 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,708,736
Proper Divisor Sum 6,184,821
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8523899 ← → #8523917

Radix Representation

Decimal 8523915
Binary 100000100001000010001011 (24 bits)
Octal 0o40410213
Hexadecimal 0x82108B

Divisor Catalog (32)

1 3 5 15 23 31 69 93 115 155 345 465 713 797 2,139 2,391 3,565 3,985 10,695 11,955 18,331 24,707 54,993 74,121 91,655 123,535 274,965 370,605 568,261 1,704,783 2,841,305 8,523,915

Collatz Trajectory (150 steps to reach 1)

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

8,523,915 25,571,746 12,785,873 38,357,620 19,178,810 9,589,405 28,768,216 14,384,108 7,192,054 3,596,027 10,788,082 5,394,041 16,182,124 8,091,062 4,045,531 12,136,594 6,068,297 18,204,892 9,102,446 4,551,223 13,653,670 6,826,835 20,480,506 10,240,253 30,720,760 15,360,380 7,680,190 3,840,095 11,520,286 5,760,143 17,280,430 8,640,215 25,920,646 12,960,323 38,880,970 19,440,485 58,321,456 29,160,728 14,580,364 7,290,182 3,645,091 10,935,274 5,467,637 16,402,912 8,201,456 4,100,728 2,050,364 1,025,182 512,591 1,537,774 768,887 2,306,662 1,153,331 3,459,994 1,729,997 5,189,992 2,594,996 1,297,498 648,749 1,946,248

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