λ
Prime Ledger

9,324,756

22 × 32 × 7 × 37003
Abundant Even Composite

9,324,756 has the prime decomposition 2^2 × 3^2 × 7 × 37003. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 37003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 26,938,912
Proper Divisor Sum 17,614,156
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9324751 ← → #9324761

Radix Representation

Decimal 9324756
Binary 100011100100100011010100 (24 bits)
Octal 0o43444324
Hexadecimal 0x8E48D4

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 37,003 74,006 111,009 148,012 222,018 259,021 333,027 444,036 518,042 666,054 777,063 1,036,084 1,332,108 1,554,126 2,331,189 3,108,252 4,662,378 9,324,756

Collatz Trajectory (194 steps to reach 1)

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

9,324,756 4,662,378 2,331,189 6,993,568 3,496,784 1,748,392 874,196 437,098 218,549 655,648 327,824 163,912 81,956 40,978 20,489 61,468 30,734 15,367 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646

More profiles

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