λ
Harmonic Matrix

9,023,579

9023579
Deficient Odd Prime

9,023,579 has digital root 8. The neighboring primes are 9023561 and 9023587; its proper-divisor sum differs from the starting integer by -9,023,578.

Prime Factor Structure

Factorization String 9023579
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,023,580
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9023561 ← → #9023587

Radix Representation

Decimal 9023579
Binary 100010011011000001011011 (24 bits)
Octal 0o42330133
Hexadecimal 0x89B05B

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

9,023,579 27,070,738 13,535,369 40,606,108 20,303,054 10,151,527 30,454,582 15,227,291 45,681,874 22,840,937 68,522,812 34,261,406 17,130,703 51,392,110 25,696,055 77,088,166 38,544,083 115,632,250 57,816,125 173,448,376 86,724,188 43,362,094 21,681,047 65,043,142 32,521,571 97,564,714 48,782,357 146,347,072 73,173,536 36,586,768 18,293,384 9,146,692 4,573,346 2,286,673 6,860,020 3,430,010 1,715,005 5,145,016 2,572,508 1,286,254 643,127 1,929,382 964,691 2,894,074 1,447,037 4,341,112 2,170,556 1,085,278 542,639 1,627,918 813,959 2,441,878 1,220,939 3,662,818 1,831,409 5,494,228 2,747,114 1,373,557 4,120,672 2,060,336

More profiles

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