λ
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Atlas › Integer Profiles › Node 8,091,062

8,091,062

2 × 7 × 31 × 103 × 181
Deficient Even Composite

8,091,062 factors as 2 × 7 × 31 × 103 × 181. Its 32 positive divisors give a proper-divisor sum of 6,445,642, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 103 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,536,704
Proper Divisor Sum 6,445,642
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8091059 ← → #8091077

Radix Representation

Decimal 8091062
Binary 11110110111010110110110 (23 bits)
Octal 0o36672666
Hexadecimal 0x7B75B6

Divisor Catalog (32)

1 2 7 14 31 62 103 181 206 217 362 434 721 1,267 1,442 2,534 3,193 5,611 6,386 11,222 18,643 22,351 37,286 39,277 44,702 78,554 130,501 261,002 577,933 1,155,866 4,045,531 8,091,062

Collatz Trajectory (137 steps to reach 1)

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

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 1,946,248 973,124 486,562 243,281 729,844 364,922 182,461 547,384 273,692 136,846 68,423 205,270 102,635 307,906

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