λ
Prime Ledger

8,271,783

32 × 13 × 19 × 612
Deficient Odd Composite

8,271,783 has the prime decomposition 3^2 × 13 × 19 × 61^2. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 61^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,770,120
Proper Divisor Sum 5,498,337
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8271773 ← → #8271793

Radix Representation

Decimal 8271783
Binary 11111100011011110100111 (23 bits)
Octal 0o37433647
Hexadecimal 0x7E37A7

Divisor Catalog (36)

1 3 9 13 19 39 57 61 117 171 183 247 549 741 793 1,159 2,223 2,379 3,477 3,721 7,137 10,431 11,163 15,067 33,489 45,201 48,373 70,699 135,603 145,119 212,097 435,357 636,291 919,087 2,757,261 8,271,783

Collatz Trajectory (168 steps to reach 1)

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

8,271,783 24,815,350 12,407,675 37,223,026 18,611,513 55,834,540 27,917,270 13,958,635 41,875,906 20,937,953 62,813,860 31,406,930 15,703,465 47,110,396 23,555,198 11,777,599 35,332,798 17,666,399 52,999,198 26,499,599 79,498,798 39,749,399 119,248,198 59,624,099 178,872,298 89,436,149 268,308,448 134,154,224 67,077,112 33,538,556 16,769,278 8,384,639 25,153,918 12,576,959 37,730,878 18,865,439 56,596,318 28,298,159 84,894,478 42,447,239 127,341,718 63,670,859 191,012,578 95,506,289 286,518,868 143,259,434 71,629,717 214,889,152 107,444,576 53,722,288 26,861,144 13,430,572 6,715,286 3,357,643 10,072,930 5,036,465 15,109,396 7,554,698 3,777,349 11,332,048

More profiles

← Previous Integer #8,271,782 Browse Full Index Next Integer #8,271,784 →