λ
Prime Ledger

2,156,492

22 × 13 × 113 × 367
Deficient Even Composite

2,156,492 has the prime decomposition 2^2 × 13 × 113 × 367. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 113 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,111,296
Proper Divisor Sum 1,954,804
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2156491 ← → #2156507

Radix Representation

Decimal 2156492
Binary 1000001110011111001100 (22 bits)
Octal 0o10163714
Hexadecimal 0x20E7CC

Divisor Catalog (24)

1 2 4 13 26 52 113 226 367 452 734 1,468 1,469 2,938 4,771 5,876 9,542 19,084 41,471 82,942 165,884 539,123 1,078,246 2,156,492

Collatz Trajectory (166 steps to reach 1)

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

2,156,492 1,078,246 539,123 1,617,370 808,685 2,426,056 1,213,028 606,514 303,257 909,772 454,886 227,443 682,330 341,165 1,023,496 511,748 255,874 127,937 383,812 191,906 95,953 287,860 143,930 71,965 215,896 107,948 53,974 26,987 80,962 40,481 121,444 60,722 30,361 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380

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