λ
Harmonic Matrix

9,568,460

22 × 5 × 11 × 23 × 31 × 61
Abundant Even Composite

9,568,460 has digital root 2. The neighboring primes are 9568453 and 9568469; its proper-divisor sum differs from the starting integer by 4,861,544.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 23 × 31 × 61
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 23,998,464
Proper Divisor Sum 14,430,004
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9568453 ← → #9568469

Radix Representation

Decimal 9568460
Binary 100100100000000011001100 (24 bits)
Octal 0o44400314
Hexadecimal 0x9200CC

Divisor Catalog (60 of 96)

1 2 4 5 10 11 20 22 23 31 44 46 55 61 62 92 110 115 122 124 155 220 230 244 253 305 310 341 460 506 610 620 671 682 713 1,012 1,220 1,265 1,342 1,364 1,403 1,426 1,705 1,891 2,530 2,684 2,806 2,852 3,355 3,410 3,565 3,782 5,060 5,612 6,710 6,820 7,015 7,130 7,564 7,843

Collatz Trajectory (238 steps to reach 1)

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

9,568,460 4,784,230 2,392,115 7,176,346 3,588,173 10,764,520 5,382,260 2,691,130 1,345,565 4,036,696 2,018,348 1,009,174 504,587 1,513,762 756,881 2,270,644 1,135,322 567,661 1,702,984 851,492 425,746 212,873 638,620 319,310 159,655 478,966 239,483 718,450 359,225 1,077,676 538,838 269,419 808,258 404,129 1,212,388 606,194 303,097 909,292 454,646 227,323 681,970 340,985 1,022,956 511,478 255,739 767,218 383,609 1,150,828 575,414 287,707 863,122 431,561 1,294,684 647,342 323,671 971,014 485,507 1,456,522 728,261 2,184,784

More profiles

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