λ
Harmonic Matrix

8,504,248

23 × 19 × 55949
Deficient Even Composite

8,504,248 has digital root 4. The neighboring primes are 8504231 and 8504257; its proper-divisor sum differs from the starting integer by -223,496.

Prime Factor Structure

Factorization String 2^3 × 19 × 55949
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,785,000
Proper Divisor Sum 8,280,752
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8504231 ← → #8504257

Radix Representation

Decimal 8504248
Binary 100000011100001110111000 (24 bits)
Octal 0o40341670
Hexadecimal 0x81C3B8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 55,949 111,898 223,796 447,592 1,063,031 2,126,062 4,252,124 8,504,248

Collatz Trajectory (106 steps to reach 1)

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

8,504,248 4,252,124 2,126,062 1,063,031 3,189,094 1,594,547 4,783,642 2,391,821 7,175,464 3,587,732 1,793,866 896,933 2,690,800 1,345,400 672,700 336,350 168,175 504,526 252,263 756,790 378,395 1,135,186 567,593 1,702,780 851,390 425,695 1,277,086 638,543 1,915,630 957,815 2,873,446 1,436,723 4,310,170 2,155,085 6,465,256 3,232,628 1,616,314 808,157 2,424,472 1,212,236 606,118 303,059 909,178 454,589 1,363,768 681,884 340,942 170,471 511,414 255,707 767,122 383,561 1,150,684 575,342 287,671 863,014 431,507 1,294,522 647,261 1,941,784

More profiles

← Previous Integer #8,504,247 Browse Full Index Next Integer #8,504,249 →