973,962

2 × 3² × 11 × 4919

973,962 factors as 2 × 3^2 × 11 × 4919. Its 24 positive divisors give a proper-divisor sum of 1,328,598, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 4919

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,302,560

Proper Divisor Sum 1,328,598

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #973957 ← → #974003

Radix Representation

Decimal	973962
Binary	11101101110010001010 (20 bits)
Octal	0o3556212
Hexadecimal	0xEDC8A

Divisor Catalog (24)

Collatz Trajectory (90 steps to reach 1)

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

973,962 486,981 1,460,944 730,472 365,236 182,618 91,309 273,928 136,964 68,482 34,241 102,724 51,362 25,681 77,044 38,522 19,261 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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