λ
Harmonic Matrix

8,716,420

22 × 5 × 97 × 4493
Abundant Even Composite

8,716,420 has digital root 1. The neighboring primes are 8716381 and 8716429; its proper-divisor sum differs from the starting integer by 1,064,464.

Prime Factor Structure

Factorization String 2^2 × 5 × 97 × 4493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,497,304
Proper Divisor Sum 9,780,884
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8716381 ← → #8716429

Radix Representation

Decimal 8716420
Binary 100001010000000010000100 (24 bits)
Octal 0o41200204
Hexadecimal 0x850084

Divisor Catalog (24)

1 2 4 5 10 20 97 194 388 485 970 1,940 4,493 8,986 17,972 22,465 44,930 89,860 435,821 871,642 1,743,284 2,179,105 4,358,210 8,716,420

Collatz Trajectory (212 steps to reach 1)

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

8,716,420 4,358,210 2,179,105 6,537,316 3,268,658 1,634,329 4,902,988 2,451,494 1,225,747 3,677,242 1,838,621 5,515,864 2,757,932 1,378,966 689,483 2,068,450 1,034,225 3,102,676 1,551,338 775,669 2,327,008 1,163,504 581,752 290,876 145,438 72,719 218,158 109,079 327,238 163,619 490,858 245,429 736,288 368,144 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294

More profiles

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