λ
Prime Ledger

8,105,617

13 × 17 × 36677
Deficient Odd Composite

8,105,617 has the prime decomposition 13 × 17 × 36677. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 36677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,242,856
Proper Divisor Sum 1,137,239
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8105599 ← → #8105621

Radix Representation

Decimal 8105617
Binary 11110111010111010010001 (23 bits)
Octal 0o36727221
Hexadecimal 0x7BAE91

Divisor Catalog (8)

1 13 17 221 36,677 476,801 623,509 8,105,617

Collatz Trajectory (199 steps to reach 1)

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

8,105,617 24,316,852 12,158,426 6,079,213 18,237,640 9,118,820 4,559,410 2,279,705 6,839,116 3,419,558 1,709,779 5,129,338 2,564,669 7,694,008 3,847,004 1,923,502 961,751 2,885,254 1,442,627 4,327,882 2,163,941 6,491,824 3,245,912 1,622,956 811,478 405,739 1,217,218 608,609 1,825,828 912,914 456,457 1,369,372 684,686 342,343 1,027,030 513,515 1,540,546 770,273 2,310,820 1,155,410 577,705 1,733,116 866,558 433,279 1,299,838 649,919 1,949,758 974,879 2,924,638 1,462,319 4,386,958 2,193,479 6,580,438 3,290,219 9,870,658 4,935,329 14,805,988 7,402,994 3,701,497 11,104,492

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