λ
Harmonic Matrix

5,634,824

23 × 13 × 54181
Abundant Even Composite

5,634,824 has digital root 5. The neighboring primes are 5634823 and 5634847; its proper-divisor sum differs from the starting integer by 108,572.

Prime Factor Structure

Factorization String 2^3 × 13 × 54181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,378,220
Proper Divisor Sum 5,743,396
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5634823 ← → #5634847

Radix Representation

Decimal 5634824
Binary 10101011111101100001000 (23 bits)
Octal 0o25375410
Hexadecimal 0x55FB08

Divisor Catalog (16)

1 2 4 8 13 26 52 104 54,181 108,362 216,724 433,448 704,353 1,408,706 2,817,412 5,634,824

Collatz Trajectory (170 steps to reach 1)

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

5,634,824 2,817,412 1,408,706 704,353 2,113,060 1,056,530 528,265 1,584,796 792,398 396,199 1,188,598 594,299 1,782,898 891,449 2,674,348 1,337,174 668,587 2,005,762 1,002,881 3,008,644 1,504,322 752,161 2,256,484 1,128,242 564,121 1,692,364 846,182 423,091 1,269,274 634,637 1,903,912 951,956 475,978 237,989 713,968 356,984 178,492 89,246 44,623 133,870 66,935 200,806 100,403 301,210 150,605 451,816 225,908 112,954 56,477 169,432 84,716 42,358 21,179 63,538 31,769 95,308 47,654 23,827 71,482 35,741

More profiles

← Previous Integer #5,634,823 Browse Full Index Next Integer #5,634,825 →