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Atlas › Integer Profiles › Node 9,708,150

9,708,150

2 × 3 × 52 × 61 × 1061
Abundant Even Composite

9,708,150 factors as 2 × 3 × 5^2 × 61 × 1061. Its 48 positive divisors give a proper-divisor sum of 14,785,818, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 61 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,493,968
Proper Divisor Sum 14,785,818
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9708143 ← → #9708187

Radix Representation

Decimal 9708150
Binary 100101000010001001110110 (24 bits)
Octal 0o45021166
Hexadecimal 0x942276

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1,061 1,525 1,830 2,122 3,050 3,183 4,575 5,305 6,366 9,150 10,610 15,915 26,525 31,830 53,050 64,721 79,575 129,442 159,150 194,163 323,605 388,326 647,210 970,815 1,618,025 1,941,630 3,236,050 4,854,075 9,708,150

Collatz Trajectory (269 steps to reach 1)

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

9,708,150 4,854,075 14,562,226 7,281,113 21,843,340 10,921,670 5,460,835 16,382,506 8,191,253 24,573,760 12,286,880 6,143,440 3,071,720 1,535,860 767,930 383,965 1,151,896 575,948 287,974 143,987 431,962 215,981 647,944 323,972 161,986 80,993 242,980 121,490 60,745 182,236 91,118 45,559 136,678 68,339 205,018 102,509 307,528 153,764 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467

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