λ
Prime Ledger

1,417,380

22 × 3 × 5 × 23623
Abundant Even Composite

1,417,380 has the prime decomposition 2^2 × 3 × 5 × 23623. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 23623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,968,832
Proper Divisor Sum 2,551,452
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1417369 ← → #1417393

Radix Representation

Decimal 1417380
Binary 101011010000010100100 (21 bits)
Octal 0o5320244
Hexadecimal 0x15A0A4

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 23,623 47,246 70,869 94,492 118,115 141,738 236,230 283,476 354,345 472,460 708,690 1,417,380

Collatz Trajectory (199 steps to reach 1)

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

1,417,380 708,690 354,345 1,063,036 531,518 265,759 797,278 398,639 1,195,918 597,959 1,793,878 896,939 2,690,818 1,345,409 4,036,228 2,018,114 1,009,057 3,027,172 1,513,586 756,793 2,270,380 1,135,190 567,595 1,702,786 851,393 2,554,180 1,277,090 638,545 1,915,636 957,818 478,909 1,436,728 718,364 359,182 179,591 538,774 269,387 808,162 404,081 1,212,244 606,122 303,061 909,184 454,592 227,296 113,648 56,824 28,412 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945

More profiles

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