λ
Prime Ledger

4,074,964

22 × 29 × 35129
Deficient Even Composite

4,074,964 has the prime decomposition 2^2 × 29 × 35129. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 35129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,377,300
Proper Divisor Sum 3,302,336
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4074943 ← → #4074977

Radix Representation

Decimal 4074964
Binary 1111100010110111010100 (22 bits)
Octal 0o17426724
Hexadecimal 0x3E2DD4

Divisor Catalog (12)

1 2 4 29 58 116 35,129 70,258 140,516 1,018,741 2,037,482 4,074,964

Collatz Trajectory (154 steps to reach 1)

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

4,074,964 2,037,482 1,018,741 3,056,224 1,528,112 764,056 382,028 191,014 95,507 286,522 143,261 429,784 214,892 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121

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