λ
Math Directory

9,927,364

22 × 2481841
Deficient Even Composite

9,927,364 factors as 2^2 × 2481841. Its 6 positive divisors give a proper-divisor sum of 7,445,530, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 2481841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 17,372,894
Proper Divisor Sum 7,445,530
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9927361 ← → #9927373

Radix Representation

Decimal 9927364
Binary 100101110111101011000100 (24 bits)
Octal 0o45675304
Hexadecimal 0x977AC4

Divisor Catalog (6)

1 2 4 2,481,841 4,963,682 9,927,364

Collatz Trajectory (145 steps to reach 1)

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

9,927,364 4,963,682 2,481,841 7,445,524 3,722,762 1,861,381 5,584,144 2,792,072 1,396,036 698,018 349,009 1,047,028 523,514 261,757 785,272 392,636 196,318 98,159 294,478 147,239 441,718 220,859 662,578 331,289 993,868 496,934 248,467 745,402 372,701 1,118,104 559,052 279,526 139,763 419,290 209,645 628,936 314,468 157,234 78,617 235,852 117,926 58,963 176,890 88,445 265,336 132,668 66,334 33,167 99,502 49,751 149,254 74,627 223,882 111,941 335,824 167,912 83,956 41,978 20,989 62,968

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