λ
Harmonic Matrix

9,770,265

32 × 5 × 217117
Deficient Odd Composite

9,770,265 has digital root 9. The neighboring primes are 9770263 and 9770273; its proper-divisor sum differs from the starting integer by -2,605,326.

Prime Factor Structure

Factorization String 3^2 × 5 × 217117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,935,204
Proper Divisor Sum 7,164,939
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9770263 ← → #9770273

Radix Representation

Decimal 9770265
Binary 100101010001010100011001 (24 bits)
Octal 0o45212431
Hexadecimal 0x951519

Divisor Catalog (12)

1 3 5 9 15 45 217,117 651,351 1,085,585 1,954,053 3,256,755 9,770,265

Collatz Trajectory (114 steps to reach 1)

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

9,770,265 29,310,796 14,655,398 7,327,699 21,983,098 10,991,549 32,974,648 16,487,324 8,243,662 4,121,831 12,365,494 6,182,747 18,548,242 9,274,121 27,822,364 13,911,182 6,955,591 20,866,774 10,433,387 31,300,162 15,650,081 46,950,244 23,475,122 11,737,561 35,212,684 17,606,342 8,803,171 26,409,514 13,204,757 39,614,272 19,807,136 9,903,568 4,951,784 2,475,892 1,237,946 618,973 1,856,920 928,460 464,230 232,115 696,346 348,173 1,044,520 522,260 261,130 130,565 391,696 195,848 97,924 48,962 24,481 73,444 36,722 18,361 55,084 27,542 13,771 41,314 20,657 61,972

More profiles

← Previous Integer #9,770,264 Browse Full Index Next Integer #9,770,266 →