λ
Prime Ledger

3,369,664

26 × 37 × 1423
Abundant Even Composite

3,369,664 has the prime decomposition 2^6 × 37 × 1423. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 37 × 1423
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 6,872,224
Proper Divisor Sum 3,502,560
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3369659 ← → #3369679

Radix Representation

Decimal 3369664
Binary 1100110110101011000000 (22 bits)
Octal 0o14665300
Hexadecimal 0x336AC0

Divisor Catalog (28)

1 2 4 8 16 32 37 64 74 148 296 592 1,184 1,423 2,368 2,846 5,692 11,384 22,768 45,536 52,651 91,072 105,302 210,604 421,208 842,416 1,684,832 3,369,664

Collatz Trajectory (84 steps to reach 1)

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

3,369,664 1,684,832 842,416 421,208 210,604 105,302 52,651 157,954 78,977 236,932 118,466 59,233 177,700 88,850 44,425 133,276 66,638 33,319 99,958 49,979 149,938 74,969 224,908 112,454 56,227 168,682 84,341 253,024 126,512 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101

More profiles

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