9,278,319

3 × 773 × 4001

9,278,319 factors as 3 × 773 × 4001. Its 8 positive divisors give a proper-divisor sum of 3,111,873, so this integer is deficient. The Collatz stopping time is 362 steps.

Prime Factor Structure

Factorization String 3 × 773 × 4001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,390,192

Proper Divisor Sum 3,111,873

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9278309 ← → #9278323

Radix Representation

Decimal	9278319
Binary	100011011001001101101111 (24 bits)
Octal	0o43311557
Hexadecimal	0x8D936F

Divisor Catalog (8)

1 3 773 2,319 4,001 12,003 3,092,773 9,278,319

Collatz Trajectory (362 steps to reach 1)

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

9,278,319 27,834,958 13,917,479 41,752,438 20,876,219 62,628,658 31,314,329 93,942,988 46,971,494 23,485,747 70,457,242 35,228,621 105,685,864 52,842,932 26,421,466 13,210,733 39,632,200 19,816,100 9,908,050 4,954,025 14,862,076 7,431,038 3,715,519 11,146,558 5,573,279 16,719,838 8,359,919 25,079,758 12,539,879 37,619,638 18,809,819 56,429,458 28,214,729 84,644,188 42,322,094 21,161,047 63,483,142 31,741,571 95,224,714 47,612,357 142,837,072 71,418,536 35,709,268 17,854,634 8,927,317 26,781,952 13,390,976 6,695,488 3,347,744 1,673,872 836,936 418,468 209,234 104,617 313,852 156,926 78,463 235,390 117,695 353,086

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