λ
Prime Ledger

8,262,477

32 × 29 × 31657
Deficient Odd Composite

8,262,477 has the prime decomposition 3^2 × 29 × 31657. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 31657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,346,620
Proper Divisor Sum 4,084,143
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8262467 ← → #8262479

Radix Representation

Decimal 8262477
Binary 11111100001001101001101 (23 bits)
Octal 0o37411515
Hexadecimal 0x7E134D

Divisor Catalog (12)

1 3 9 29 87 261 31,657 94,971 284,913 918,053 2,754,159 8,262,477

Collatz Trajectory (106 steps to reach 1)

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

8,262,477 24,787,432 12,393,716 6,196,858 3,098,429 9,295,288 4,647,644 2,323,822 1,161,911 3,485,734 1,742,867 5,228,602 2,614,301 7,842,904 3,921,452 1,960,726 980,363 2,941,090 1,470,545 4,411,636 2,205,818 1,102,909 3,308,728 1,654,364 827,182 413,591 1,240,774 620,387 1,861,162 930,581 2,791,744 1,395,872 697,936 348,968 174,484 87,242 43,621 130,864 65,432 32,716 16,358 8,179 24,538 12,269 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738

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