λ
Prime Ledger

1,617,888

25 × 3 × 19 × 887
Abundant Even Composite

1,617,888 has the prime decomposition 2^5 × 3 × 19 × 887. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 19 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,475,520
Proper Divisor Sum 2,857,632
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1617883 ← → #1617893

Radix Representation

Decimal 1617888
Binary 110001010111111100000 (21 bits)
Octal 0o6127740
Hexadecimal 0x18AFE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 887 912 1,774 1,824 2,661 3,548 5,322 7,096 10,644 14,192 16,853 21,288 28,384 33,706 42,576 50,559 67,412 85,152 101,118 134,824 202,236 269,648 404,472 539,296 808,944 1,617,888

Collatz Trajectory (207 steps to reach 1)

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

1,617,888 808,944 404,472 202,236 101,118 50,559 151,678 75,839 227,518 113,759 341,278 170,639 511,918 255,959 767,878 383,939 1,151,818 575,909 1,727,728 863,864 431,932 215,966 107,983 323,950 161,975 485,926 242,963 728,890 364,445 1,093,336 546,668 273,334 136,667 410,002 205,001 615,004 307,502 153,751 461,254 230,627 691,882 345,941 1,037,824 518,912 259,456 129,728 64,864 32,432 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711

More profiles

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