λ
Prime Ledger

3,453,788

22 × 13 × 17 × 3907
Deficient Even Composite

3,453,788 has the prime decomposition 2^2 × 13 × 17 × 3907. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 3907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,893,712
Proper Divisor Sum 3,439,924
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3453787 ← → #3453809

Radix Representation

Decimal 3453788
Binary 1101001011001101011100 (22 bits)
Octal 0o15131534
Hexadecimal 0x34B35C

Divisor Catalog (24)

1 2 4 13 17 26 34 52 68 221 442 884 3,907 7,814 15,628 50,791 66,419 101,582 132,838 203,164 265,676 863,447 1,726,894 3,453,788

Collatz Trajectory (146 steps to reach 1)

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

3,453,788 1,726,894 863,447 2,590,342 1,295,171 3,885,514 1,942,757 5,828,272 2,914,136 1,457,068 728,534 364,267 1,092,802 546,401 1,639,204 819,602 409,801 1,229,404 614,702 307,351 922,054 461,027 1,383,082 691,541 2,074,624 1,037,312 518,656 259,328 129,664 64,832 32,416 16,208 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

More profiles

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