λ
Harmonic Matrix

9,064,740

22 × 3 × 5 × 17 × 8887
Abundant Even Composite

9,064,740 has digital root 3. The neighboring primes are 9064673 and 9064751; its proper-divisor sum differs from the starting integer by 8,747,832.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 8887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,877,312
Proper Divisor Sum 17,812,572
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9064673 ← → #9064751

Radix Representation

Decimal 9064740
Binary 100010100101000100100100 (24 bits)
Octal 0o42450444
Hexadecimal 0x8A5124

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1,020 8,887 17,774 26,661 35,548 44,435 53,322 88,870 106,644 133,305 151,079 177,740 266,610 302,158 453,237 533,220 604,316 755,395 906,474 1,510,790 1,812,948 2,266,185 3,021,580 4,532,370 9,064,740

Collatz Trajectory (93 steps to reach 1)

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

9,064,740 4,532,370 2,266,185 6,798,556 3,399,278 1,699,639 5,098,918 2,549,459 7,648,378 3,824,189 11,472,568 5,736,284 2,868,142 1,434,071 4,302,214 2,151,107 6,453,322 3,226,661 9,679,984 4,839,992 2,419,996 1,209,998 604,999 1,814,998 907,499 2,722,498 1,361,249 4,083,748 2,041,874 1,020,937 3,062,812 1,531,406 765,703 2,297,110 1,148,555 3,445,666 1,722,833 5,168,500 2,584,250 1,292,125 3,876,376 1,938,188 969,094 484,547 1,453,642 726,821 2,180,464 1,090,232 545,116 272,558 136,279 408,838 204,419 613,258 306,629 919,888 459,944 229,972 114,986 57,493

More profiles

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