λ
Harmonic Matrix

9,265,019

9265019
Deficient Odd Prime

9,265,019 has digital root 5. The neighboring primes are 9265013 and 9265037; its proper-divisor sum differs from the starting integer by -9,265,018.

Prime Factor Structure

Factorization String 9265019
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,265,020
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9265013 ← → #9265037

Radix Representation

Decimal 9265019
Binary 100011010101111101111011 (24 bits)
Octal 0o43257573
Hexadecimal 0x8D5F7B

Divisor Catalog (2)

Collatz Trajectory (225 steps to reach 1)

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

9,265,019 27,795,058 13,897,529 41,692,588 20,846,294 10,423,147 31,269,442 15,634,721 46,904,164 23,452,082 11,726,041 35,178,124 17,589,062 8,794,531 26,383,594 13,191,797 39,575,392 19,787,696 9,893,848 4,946,924 2,473,462 1,236,731 3,710,194 1,855,097 5,565,292 2,782,646 1,391,323 4,173,970 2,086,985 6,260,956 3,130,478 1,565,239 4,695,718 2,347,859 7,043,578 3,521,789 10,565,368 5,282,684 2,641,342 1,320,671 3,962,014 1,981,007 5,943,022 2,971,511 8,914,534 4,457,267 13,371,802 6,685,901 20,057,704 10,028,852 5,014,426 2,507,213 7,521,640 3,760,820 1,880,410 940,205 2,820,616 1,410,308 705,154 352,577

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