λ
Ratio Atlas

8,018,237

17 × 23 × 20507
Deficient Odd Composite

8,018,237 factors as 17 × 23 × 20507. Its 8 positive divisors give a proper-divisor sum of 841,219, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 17 × 23 × 20507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,859,456
Proper Divisor Sum 841,219
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8018221 ← → #8018273

Radix Representation

Decimal 8018237
Binary 11110100101100100111101 (23 bits)
Octal 0o36454475
Hexadecimal 0x7A593D

Divisor Catalog (8)

1 17 23 391 20,507 348,619 471,661 8,018,237

Collatz Trajectory (142 steps to reach 1)

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

8,018,237 24,054,712 12,027,356 6,013,678 3,006,839 9,020,518 4,510,259 13,530,778 6,765,389 20,296,168 10,148,084 5,074,042 2,537,021 7,611,064 3,805,532 1,902,766 951,383 2,854,150 1,427,075 4,281,226 2,140,613 6,421,840 3,210,920 1,605,460 802,730 401,365 1,204,096 602,048 301,024 150,512 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866

More profiles

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