λ
Sequence Observatory

9,582,462

2 × 35 × 19717
Abundant Even Composite

Starting at 9,582,462, the Collatz iteration reaches 1 after 132 steps. The first transition is 4791231; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 19717
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,532,056
Proper Divisor Sum 11,949,594
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9582457 ← → #9582487

Radix Representation

Decimal 9582462
Binary 100100100011011101111110 (24 bits)
Octal 0o44433576
Hexadecimal 0x92377E

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 19,717 39,434 59,151 118,302 177,453 354,906 532,359 1,064,718 1,597,077 3,194,154 4,791,231 9,582,462

Collatz Trajectory (132 steps to reach 1)

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

9,582,462 4,791,231 14,373,694 7,186,847 21,560,542 10,780,271 32,340,814 16,170,407 48,511,222 24,255,611 72,766,834 36,383,417 109,150,252 54,575,126 27,287,563 81,862,690 40,931,345 122,794,036 61,397,018 30,698,509 92,095,528 46,047,764 23,023,882 11,511,941 34,535,824 17,267,912 8,633,956 4,316,978 2,158,489 6,475,468 3,237,734 1,618,867 4,856,602 2,428,301 7,284,904 3,642,452 1,821,226 910,613 2,731,840 1,365,920 682,960 341,480 170,740 85,370 42,685 128,056 64,028 32,014 16,007 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130

More profiles

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