λ
Prime Ledger

2,074,052

22 × 67 × 71 × 109
Deficient Even Composite

2,074,052 has the prime decomposition 2^2 × 67 × 71 × 109. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 67 × 71 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,769,920
Proper Divisor Sum 1,695,868
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2074031 ← → #2074057

Radix Representation

Decimal 2074052
Binary 111111010010111000100 (21 bits)
Octal 0o7722704
Hexadecimal 0x1FA5C4

Divisor Catalog (24)

1 2 4 67 71 109 134 142 218 268 284 436 4,757 7,303 7,739 9,514 14,606 15,478 19,028 29,212 30,956 518,513 1,037,026 2,074,052

Collatz Trajectory (73 steps to reach 1)

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

2,074,052 1,037,026 518,513 1,555,540 777,770 388,885 1,166,656 583,328 291,664 145,832 72,916 36,458 18,229 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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