λ
Match Zalai

1,493,016

23 × 3 × 7 × 8887
Abundant Even Composite

1,493,016 factors as 2^3 × 3 × 7 × 8887. Its 32 positive divisors give a proper-divisor sum of 2,773,224, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 8887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,266,240
Proper Divisor Sum 2,773,224
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1492993 ← → #1493027

Radix Representation

Decimal 1493016
Binary 101101100100000011000 (21 bits)
Octal 0o5544030
Hexadecimal 0x16C818

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8,887 17,774 26,661 35,548 53,322 62,209 71,096 106,644 124,418 186,627 213,288 248,836 373,254 497,672 746,508 1,493,016

Collatz Trajectory (88 steps to reach 1)

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

1,493,016 746,508 373,254 186,627 559,882 279,941 839,824 419,912 209,956 104,978 52,489 157,468 78,734 39,367 118,102 59,051 177,154 88,577 265,732 132,866 66,433 199,300 99,650 49,825 149,476 74,738 37,369 112,108 56,054 28,027 84,082 42,041 126,124 63,062 31,531 94,594 47,297 141,892 70,946 35,473 106,420 53,210 26,605 79,816 39,908 19,954 9,977 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472

More profiles

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