λ
Integer Codex

9,327,867

3 × 73 × 191 × 223
Deficient Odd Composite

For 9,327,867, the 16 positive divisors have a total of 12,730,368. Removing 9,327,867 leaves 3,402,501, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 73 × 191 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,730,368
Proper Divisor Sum 3,402,501
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9327863 ← → #9327887

Radix Representation

Decimal 9327867
Binary 100011100101010011111011 (24 bits)
Octal 0o43452373
Hexadecimal 0x8E54FB

Divisor Catalog (16)

1 3 73 191 219 223 573 669 13,943 16,279 41,829 42,593 48,837 127,779 3,109,289 9,327,867

Collatz Trajectory (119 steps to reach 1)

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

9,327,867 27,983,602 13,991,801 41,975,404 20,987,702 10,493,851 31,481,554 15,740,777 47,222,332 23,611,166 11,805,583 35,416,750 17,708,375 53,125,126 26,562,563 79,687,690 39,843,845 119,531,536 59,765,768 29,882,884 14,941,442 7,470,721 22,412,164 11,206,082 5,603,041 16,809,124 8,404,562 4,202,281 12,606,844 6,303,422 3,151,711 9,455,134 4,727,567 14,182,702 7,091,351 21,274,054 10,637,027 31,911,082 15,955,541 47,866,624 23,933,312 11,966,656 5,983,328 2,991,664 1,495,832 747,916 373,958 186,979 560,938 280,469 841,408 420,704 210,352 105,176 52,588 26,294 13,147 39,442 19,721 59,164

More profiles

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