λ
Harmonic Matrix

9,119,767

9119767
Deficient Odd Prime

9,119,767 has digital root 4. The neighboring primes are 9119749 and 9119779; its proper-divisor sum differs from the starting integer by -9,119,766.

Prime Factor Structure

Factorization String 9119767
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,119,768
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9119749 ← → #9119779

Radix Representation

Decimal 9119767
Binary 100010110010100000010111 (24 bits)
Octal 0o42624027
Hexadecimal 0x8B2817

Divisor Catalog (2)

1 9,119,767

Collatz Trajectory (132 steps to reach 1)

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

9,119,767 27,359,302 13,679,651 41,038,954 20,519,477 61,558,432 30,779,216 15,389,608 7,694,804 3,847,402 1,923,701 5,771,104 2,885,552 1,442,776 721,388 360,694 180,347 541,042 270,521 811,564 405,782 202,891 608,674 304,337 913,012 456,506 228,253 684,760 342,380 171,190 85,595 256,786 128,393 385,180 192,590 96,295 288,886 144,443 433,330 216,665 649,996 324,998 162,499 487,498 243,749 731,248 365,624 182,812 91,406 45,703 137,110 68,555 205,666 102,833 308,500 154,250 77,125 231,376 115,688 57,844

More profiles

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