838,825

5² × 13 × 29 × 89

838,825 has the prime decomposition 5^2 × 13 × 29 × 89. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 29 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,171,800

Proper Divisor Sum 332,975

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #838813 ← → #838837

Radix Representation

Decimal	838825
Binary	11001100110010101001 (20 bits)
Octal	0o3146251
Hexadecimal	0xCCCA9

Divisor Catalog (24)

1 5 13 25 29 65 89 145 325 377 445 725 1,157 1,885 2,225 2,581 5,785 9,425 12,905 28,925 33,553 64,525 167,765 838,825

Collatz Trajectory (144 steps to reach 1)

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

838,825 2,516,476 1,258,238 629,119 1,887,358 943,679 2,831,038 1,415,519 4,246,558 2,123,279 6,369,838 3,184,919 9,554,758 4,777,379 14,332,138 7,166,069 21,498,208 10,749,104 5,374,552 2,687,276 1,343,638 671,819 2,015,458 1,007,729 3,023,188 1,511,594 755,797 2,267,392 1,133,696 566,848 283,424 141,712 70,856 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326

← Previous Integer #838,824 Browse Full Index Next Integer #838,826 →