λ
Harmonic Matrix

9,278,993

9278993
Deficient Odd Prime

9,278,993 has digital root 2. The neighboring primes are 9278987 and 9279007; its proper-divisor sum differs from the starting integer by -9,278,992.

Prime Factor Structure

Factorization String 9278993
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,278,994
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9278987 ← → #9279007

Radix Representation

Decimal 9278993
Binary 100011011001011000010001 (24 bits)
Octal 0o43313021
Hexadecimal 0x8D9611

Divisor Catalog (2)

1 9,278,993

Collatz Trajectory (88 steps to reach 1)

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

9,278,993 27,836,980 13,918,490 6,959,245 20,877,736 10,438,868 5,219,434 2,609,717 7,829,152 3,914,576 1,957,288 978,644 489,322 244,661 733,984 366,992 183,496 91,748 45,874 22,937 68,812 34,406 17,203 51,610 25,805 77,416 38,708 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640

More profiles

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