λ
Harmonic Matrix

9,274,650

2 × 3 × 52 × 7 × 112 × 73
Abundant Even Composite

9,274,650 has digital root 6. The neighboring primes are 9274637 and 9274663; its proper-divisor sum differs from the starting integer by 10,740,492.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 11^2 × 73
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 29,289,792
Proper Divisor Sum 20,015,142
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9274637 ← → #9274663

Radix Representation

Decimal 9274650
Binary 100011011000010100011010 (24 bits)
Octal 0o43302432
Hexadecimal 0x8D851A

Divisor Catalog (60 of 144)

1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 73 75 77 105 110 121 146 150 154 165 175 210 219 231 242 275 330 350 363 365 385 438 462 511 525 550 605 726 730 770 803 825 847 1,022 1,050 1,095 1,155 1,210 1,533

Collatz Trajectory (212 steps to reach 1)

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

9,274,650 4,637,325 13,911,976 6,955,988 3,477,994 1,738,997 5,216,992 2,608,496 1,304,248 652,124 326,062 163,031 489,094 244,547 733,642 366,821 1,100,464 550,232 275,116 137,558 68,779 206,338 103,169 309,508 154,754 77,377 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846

More profiles

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