λ
Harmonic Matrix

5,684,716

22 × 223 × 6373
Deficient Even Composite

5,684,716 has digital root 1. The neighboring primes are 5684713 and 5684737; its proper-divisor sum differs from the starting integer by -1,375,000.

Prime Factor Structure

Factorization String 2^2 × 223 × 6373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,994,432
Proper Divisor Sum 4,309,716
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5684713 ← → #5684737

Radix Representation

Decimal 5684716
Binary 10101101011110111101100 (23 bits)
Octal 0o25536754
Hexadecimal 0x56BDEC

Divisor Catalog (12)

1 2 4 223 446 892 6,373 12,746 25,492 1,421,179 2,842,358 5,684,716

Collatz Trajectory (64 steps to reach 1)

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

5,684,716 2,842,358 1,421,179 4,263,538 2,131,769 6,395,308 3,197,654 1,598,827 4,796,482 2,398,241 7,194,724 3,597,362 1,798,681 5,396,044 2,698,022 1,349,011 4,047,034 2,023,517 6,070,552 3,035,276 1,517,638 758,819 2,276,458 1,138,229 3,414,688 1,707,344 853,672 426,836 213,418 106,709 320,128 160,064 80,032 40,016 20,008 10,004 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5

More profiles

← Previous Integer #5,684,715 Browse Full Index Next Integer #5,684,717 →