λ
Harmonic Matrix

8,497,008

24 × 33 × 13 × 17 × 89
Abundant Even Composite

8,497,008 has digital root 9. The neighboring primes are 8496979 and 8497031; its proper-divisor sum differs from the starting integer by 11,129,184.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13 × 17 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 28,123,200
Proper Divisor Sum 19,626,192
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8496979 ← → #8497031

Radix Representation

Decimal 8497008
Binary 100000011010011101110000 (24 bits)
Octal 0o40323560
Hexadecimal 0x81A770

Divisor Catalog (60 of 160)

1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 89 102 104 108 117 136 144 153 156 178 204 208 216 221 234 267 272 306 312 351 356 408 432 442 459 468 534 612 624 663 702 712 801 816 884

Collatz Trajectory (49 steps to reach 1)

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

8,497,008 4,248,504 2,124,252 1,062,126 531,063 1,593,190 796,595 2,389,786 1,194,893 3,584,680 1,792,340 896,170 448,085 1,344,256 672,128 336,064 168,032 84,016 42,008 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

← Previous Integer #8,497,007 Browse Full Index Next Integer #8,497,009 →