961,988

2² × 29 × 8293

For 961,988, the 12 positive divisors have a total of 1,741,740. Removing 961,988 leaves 779,752, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 29 × 8293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,741,740

Proper Divisor Sum 779,752

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #961981 ← → #961991

Radix Representation

Decimal	961988
Binary	11101010110111000100 (20 bits)
Octal	0o3526704
Hexadecimal	0xEADC4

Divisor Catalog (12)

1 2 4 29 58 116 8,293 16,586 33,172 240,497 480,994 961,988

Collatz Trajectory (214 steps to reach 1)

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

961,988 480,994 240,497 721,492 360,746 180,373 541,120 270,560 135,280 67,640 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625

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