λ
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999,992

23 × 72 × 2551
Abundant Even Composite

999,992 factors as 2^3 × 7^2 × 2551. Its 24 positive divisors give a proper-divisor sum of 1,181,968, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 2551
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,181,960
Proper Divisor Sum 1,181,968
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #999983 ← → #1000003

Radix Representation

Decimal 999992
Binary 11110100001000111000 (20 bits)
Octal 0o3641070
Hexadecimal 0xF4238

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 2,551 5,102 10,204 17,857 20,408 35,714 71,428 124,999 142,856 249,998 499,996 999,992

Collatz Trajectory (113 steps to reach 1)

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

999,992 499,996 249,998 124,999 374,998 187,499 562,498 281,249 843,748 421,874 210,937 632,812 316,406 158,203 474,610 237,305 711,916 355,958 177,979 533,938 266,969 800,908 400,454 200,227 600,682 300,341 901,024 450,512 225,256 112,628 56,314 28,157 84,472 42,236 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060

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