λ
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976,704

26 × 3 × 5087
Abundant Even Composite

976,704 factors as 2^6 × 3 × 5087. Its 28 positive divisors give a proper-divisor sum of 1,608,000, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5087
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,584,704
Proper Divisor Sum 1,608,000
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #976699 ← → #976709

Radix Representation

Decimal 976704
Binary 11101110011101000000 (20 bits)
Octal 0o3563500
Hexadecimal 0xEE740

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 5,087 10,174 15,261 20,348 30,522 40,696 61,044 81,392 122,088 162,784 244,176 325,568 488,352 976,704

Collatz Trajectory (183 steps to reach 1)

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

976,704 488,352 244,176 122,088 61,044 30,522 15,261 45,784 22,892 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034

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