λ
Prime Ledger

9,436,842

2 × 32 × 524269
Abundant Even Composite

9,436,842 has the prime decomposition 2 × 3^2 × 524269. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 524269
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,446,530
Proper Divisor Sum 11,009,688
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9436841 ← → #9436907

Radix Representation

Decimal 9436842
Binary 100011111111111010101010 (24 bits)
Octal 0o43777252
Hexadecimal 0x8FFEAA

Divisor Catalog (12)

1 2 3 6 9 18 524,269 1,048,538 1,572,807 3,145,614 4,718,421 9,436,842

Collatz Trajectory (163 steps to reach 1)

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

9,436,842 4,718,421 14,155,264 7,077,632 3,538,816 1,769,408 884,704 442,352 221,176 110,588 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452 3,026,726 1,513,363 4,540,090 2,270,045 6,810,136 3,405,068 1,702,534 851,267 2,553,802 1,276,901 3,830,704 1,915,352 957,676 478,838 239,419 718,258 359,129

More profiles

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