λ
Prime Ledger

4,029,096

23 × 3 × 167879
Abundant Even Composite

4,029,096 has the prime decomposition 2^3 × 3 × 167879. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 167879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,072,800
Proper Divisor Sum 6,043,704
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4029049 ← → #4029097

Radix Representation

Decimal 4029096
Binary 1111010111101010101000 (22 bits)
Octal 0o17275250
Hexadecimal 0x3D7AA8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 167,879 335,758 503,637 671,516 1,007,274 1,343,032 2,014,548 4,029,096

Collatz Trajectory (110 steps to reach 1)

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

4,029,096 2,014,548 1,007,274 503,637 1,510,912 755,456 377,728 188,864 94,432 47,216 23,608 11,804 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

More profiles

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