λ
Sequence Observatory

9,431,964

22 × 34 × 43 × 677
Abundant Even Composite

Starting at 9,431,964, the Collatz iteration reaches 1 after 132 steps. The first transition is 4715982; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 43 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 25,267,704
Proper Divisor Sum 15,835,740
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9431959 ← → #9431977

Radix Representation

Decimal 9431964
Binary 100011111110101110011100 (24 bits)
Octal 0o43765634
Hexadecimal 0x8FEB9C

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 677 774 1,161 1,354 1,548 2,031 2,322 2,708 3,483 4,062 4,644 6,093 6,966 8,124 12,186 13,932 18,279 24,372 29,111 36,558 54,837 58,222 73,116 87,333 109,674 116,444 174,666 219,348 261,999 349,332 523,998 785,997 1,047,996 1,571,994 2,357,991 3,143,988 4,715,982 9,431,964

Collatz Trajectory (132 steps to reach 1)

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

9,431,964 4,715,982 2,357,991 7,073,974 3,536,987 10,610,962 5,305,481 15,916,444 7,958,222 3,979,111 11,937,334 5,968,667 17,906,002 8,953,001 26,859,004 13,429,502 6,714,751 20,144,254 10,072,127 30,216,382 15,108,191 45,324,574 22,662,287 67,986,862 33,993,431 101,980,294 50,990,147 152,970,442 76,485,221 229,455,664 114,727,832 57,363,916 28,681,958 14,340,979 43,022,938 21,511,469 64,534,408 32,267,204 16,133,602 8,066,801 24,200,404 12,100,202 6,050,101 18,150,304 9,075,152 4,537,576 2,268,788 1,134,394 567,197 1,701,592 850,796 425,398 212,699 638,098 319,049 957,148 478,574 239,287 717,862 358,931

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