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Atlas › Integer Profiles › Node 1,491,968

1,491,968

210 × 31 × 47
Abundant Even Composite

1,491,968 factors as 2^10 × 31 × 47. Its 44 positive divisors give a proper-divisor sum of 1,652,224, so this integer is abundant. The Collatz stopping time is 44 steps.

Prime Factor Structure

Factorization String 2^10 × 31 × 47
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 3,144,192
Proper Divisor Sum 1,652,224
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1491967 ← → #1491977

Radix Representation

Decimal 1491968
Binary 101101100010000000000 (21 bits)
Octal 0o5542000
Hexadecimal 0x16C400

Divisor Catalog (44)

1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 512 752 992 1,024 1,457 1,504 1,984 2,914 3,008 3,968 5,828 6,016 7,936 11,656 12,032 15,872 23,312 24,064 31,744 46,624 48,128 93,248 186,496 372,992 745,984 1,491,968

Collatz Trajectory (44 steps to reach 1)

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

1,491,968 745,984 372,992 186,496 93,248 46,624 23,312 11,656 5,828 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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