λ
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989,672

23 × 17 × 19 × 383
Abundant Even Composite

989,672 factors as 2^3 × 17 × 19 × 383. Its 32 positive divisors give a proper-divisor sum of 1,083,928, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 19 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,073,600
Proper Divisor Sum 1,083,928
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #989671 ← → #989687

Radix Representation

Decimal 989672
Binary 11110001100111101000 (20 bits)
Octal 0o3614750
Hexadecimal 0xF19E8

Divisor Catalog (32)

1 2 4 8 17 19 34 38 68 76 136 152 323 383 646 766 1,292 1,532 2,584 3,064 6,511 7,277 13,022 14,554 26,044 29,108 52,088 58,216 123,709 247,418 494,836 989,672

Collatz Trajectory (139 steps to reach 1)

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

989,672 494,836 247,418 123,709 371,128 185,564 92,782 46,391 139,174 69,587 208,762 104,381 313,144 156,572 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801 125,404 62,702 31,351 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175

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