947,749

11 × 29 × 2971

947,749 factors as 11 × 29 × 2971. Its 8 positive divisors give a proper-divisor sum of 122,171, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 11 × 29 × 2971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,069,920

Proper Divisor Sum 122,171

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #947747 ← → #947753

Radix Representation

Decimal	947749
Binary	11100111011000100101 (20 bits)
Octal	0o3473045
Hexadecimal	0xE7625

Divisor Catalog (8)

1 11 29 319 2,971 32,681 86,159 947,749

Collatz Trajectory (77 steps to reach 1)

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

947,749 2,843,248 1,421,624 710,812 355,406 177,703 533,110 266,555 799,666 399,833 1,199,500 599,750 299,875 899,626 449,813 1,349,440 674,720 337,360 168,680 84,340 42,170 21,085 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29

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