λ
Harmonic Matrix

9,276,090

2 × 3 × 5 × 241 × 1283
Abundant Even Composite

9,276,090 has digital root 6. The neighboring primes are 9276073 and 9276097; its proper-divisor sum differs from the starting integer by 3,820,236.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 241 × 1283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,372,416
Proper Divisor Sum 13,096,326
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9276073 ← → #9276097

Radix Representation

Decimal 9276090
Binary 100011011000101010111010 (24 bits)
Octal 0o43305272
Hexadecimal 0x8D8ABA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 241 482 723 1,205 1,283 1,446 2,410 2,566 3,615 3,849 6,415 7,230 7,698 12,830 19,245 38,490 309,203 618,406 927,609 1,546,015 1,855,218 3,092,030 4,638,045 9,276,090

Collatz Trajectory (212 steps to reach 1)

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

9,276,090 4,638,045 13,914,136 6,957,068 3,478,534 1,739,267 5,217,802 2,608,901 7,826,704 3,913,352 1,956,676 978,338 489,169 1,467,508 733,754 366,877 1,100,632 550,316 275,158 137,579 412,738 206,369 619,108 309,554 154,777 464,332 232,166 116,083 348,250 174,125 522,376 261,188 130,594 65,297 195,892 97,946 48,973 146,920 73,460 36,730 18,365 55,096 27,548 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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