λ
Prime Ledger

1,834,436

22 × 17 × 53 × 509
Deficient Even Composite

1,834,436 has the prime decomposition 2^2 × 17 × 53 × 509. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 53 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,470,040
Proper Divisor Sum 1,635,604
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1834433 ← → #1834439

Radix Representation

Decimal 1834436
Binary 110111111110111000100 (21 bits)
Octal 0o6776704
Hexadecimal 0x1BFDC4

Divisor Catalog (24)

1 2 4 17 34 53 68 106 212 509 901 1,018 1,802 2,036 3,604 8,653 17,306 26,977 34,612 53,954 107,908 458,609 917,218 1,834,436

Collatz Trajectory (202 steps to reach 1)

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

1,834,436 917,218 458,609 1,375,828 687,914 343,957 1,031,872 515,936 257,968 128,984 64,492 32,246 16,123 48,370 24,185 72,556 36,278 18,139 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644

More profiles

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