8,198,013

3 × 2732671

8,198,013 has digital root 3. The neighboring primes are 8198011 and 8198017; its proper-divisor sum differs from the starting integer by -5,465,338.

Prime Factor Structure

Factorization String 3 × 2732671

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,930,688

Proper Divisor Sum 2,732,675

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8198011 ← → #8198017

Radix Representation

Decimal	8198013
Binary	11111010001011101111101 (23 bits)
Octal	0o37213575
Hexadecimal	0x7D177D

Divisor Catalog (4)

1 3 2,732,671 8,198,013

Collatz Trajectory (111 steps to reach 1)

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

8,198,013 24,594,040 12,297,020 6,148,510 3,074,255 9,222,766 4,611,383 13,834,150 6,917,075 20,751,226 10,375,613 31,126,840 15,563,420 7,781,710 3,890,855 11,672,566 5,836,283 17,508,850 8,754,425 26,263,276 13,131,638 6,565,819 19,697,458 9,848,729 29,546,188 14,773,094 7,386,547 22,159,642 11,079,821 33,239,464 16,619,732 8,309,866 4,154,933 12,464,800 6,232,400 3,116,200 1,558,100 779,050 389,525 1,168,576 584,288 292,144 146,072 73,036 36,518 18,259 54,778 27,389 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001

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