λ
Prime Ledger

8,040,462

2 × 3 × 79 × 16963
Abundant Even Composite

8,040,462 has the prime decomposition 2 × 3 × 79 × 16963. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 16963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,285,440
Proper Divisor Sum 8,244,978
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8040457 ← → #8040463

Radix Representation

Decimal 8040462
Binary 11110101011000000001110 (23 bits)
Octal 0o36530016
Hexadecimal 0x7AB00E

Divisor Catalog (16)

1 2 3 6 79 158 237 474 16,963 33,926 50,889 101,778 1,340,077 2,680,154 4,020,231 8,040,462

Collatz Trajectory (142 steps to reach 1)

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

8,040,462 4,020,231 12,060,694 6,030,347 18,091,042 9,045,521 27,136,564 13,568,282 6,784,141 20,352,424 10,176,212 5,088,106 2,544,053 7,632,160 3,816,080 1,908,040 954,020 477,010 238,505 715,516 357,758 178,879 536,638 268,319 804,958 402,479 1,207,438 603,719 1,811,158 905,579 2,716,738 1,358,369 4,075,108 2,037,554 1,018,777 3,056,332 1,528,166 764,083 2,292,250 1,146,125 3,438,376 1,719,188 859,594 429,797 1,289,392 644,696 322,348 161,174 80,587 241,762 120,881 362,644 181,322 90,661 271,984 135,992 67,996 33,998 16,999 50,998

More profiles

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