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Atlas › Integer Profiles › Node 10,076,610

10,076,610

2 × 3 × 5 × 59 × 5693
Abundant Even Composite

10,076,610 factors as 2 × 3 × 5 × 59 × 5693. Its 32 positive divisors give a proper-divisor sum of 14,521,470, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 5693
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,598,080
Proper Divisor Sum 14,521,470
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10076609 ← → #10076621

Radix Representation

Decimal 10076610
Binary 100110011100000111000010 (24 bits)
Octal 0o46340702
Hexadecimal 0x99C1C2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1,770 5,693 11,386 17,079 28,465 34,158 56,930 85,395 170,790 335,887 671,774 1,007,661 1,679,435 2,015,322 3,358,870 5,038,305 10,076,610

Collatz Trajectory (282 steps to reach 1)

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

10,076,610 5,038,305 15,114,916 7,557,458 3,778,729 11,336,188 5,668,094 2,834,047 8,502,142 4,251,071 12,753,214 6,376,607 19,129,822 9,564,911 28,694,734 14,347,367 43,042,102 21,521,051 64,563,154 32,281,577 96,844,732 48,422,366 24,211,183 72,633,550 36,316,775 108,950,326 54,475,163 163,425,490 81,712,745 245,138,236 122,569,118 61,284,559 183,853,678 91,926,839 275,780,518 137,890,259 413,670,778 206,835,389 620,506,168 310,253,084 155,126,542 77,563,271 232,689,814 116,344,907 349,034,722 174,517,361 523,552,084 261,776,042 130,888,021 392,664,064 196,332,032 98,166,016 49,083,008 24,541,504 12,270,752 6,135,376 3,067,688 1,533,844 766,922 383,461

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