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980,952

23 × 3 × 7 × 5839
Abundant Even Composite

980,952 factors as 2^3 × 3 × 7 × 5839. Its 32 positive divisors give a proper-divisor sum of 1,822,248, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 5839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,803,200
Proper Divisor Sum 1,822,248
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #980921 ← → #980957

Radix Representation

Decimal 980952
Binary 11101111011111011000 (20 bits)
Octal 0o3573730
Hexadecimal 0xEF7D8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 5,839 11,678 17,517 23,356 35,034 40,873 46,712 70,068 81,746 122,619 140,136 163,492 245,238 326,984 490,476 980,952

Collatz Trajectory (196 steps to reach 1)

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

980,952 490,476 245,238 122,619 367,858 183,929 551,788 275,894 137,947 413,842 206,921 620,764 310,382 155,191 465,574 232,787 698,362 349,181 1,047,544 523,772 261,886 130,943 392,830 196,415 589,246 294,623 883,870 441,935 1,325,806 662,903 1,988,710 994,355 2,983,066 1,491,533 4,474,600 2,237,300 1,118,650 559,325 1,677,976 838,988 419,494 209,747 629,242 314,621 943,864 471,932 235,966 117,983 353,950 176,975 530,926 265,463 796,390 398,195 1,194,586 597,293 1,791,880 895,940 447,970 223,985

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