λ
Prime Ledger

8,007,871

8007871
Deficient Odd Prime

8,007,871 has the prime decomposition 8007871. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 8007871
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,007,872
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8007869 ← → #8007917

Radix Representation

Decimal 8007871
Binary 11110100011000010111111 (23 bits)
Octal 0o36430277
Hexadecimal 0x7A30BF

Divisor Catalog (2)

Collatz Trajectory (261 steps to reach 1)

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

8,007,871 24,023,614 12,011,807 36,035,422 18,017,711 54,053,134 27,026,567 81,079,702 40,539,851 121,619,554 60,809,777 182,429,332 91,214,666 45,607,333 136,822,000 68,411,000 34,205,500 17,102,750 8,551,375 25,654,126 12,827,063 38,481,190 19,240,595 57,721,786 28,860,893 86,582,680 43,291,340 21,645,670 10,822,835 32,468,506 16,234,253 48,702,760 24,351,380 12,175,690 6,087,845 18,263,536 9,131,768 4,565,884 2,282,942 1,141,471 3,424,414 1,712,207 5,136,622 2,568,311 7,704,934 3,852,467 11,557,402 5,778,701 17,336,104 8,668,052 4,334,026 2,167,013 6,501,040 3,250,520 1,625,260 812,630 406,315 1,218,946 609,473 1,828,420

More profiles

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