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Atlas › Integer Profiles › Node 10,003,410

10,003,410

2 × 32 × 5 × 111149
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 111149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 26,009,100
Proper Divisor Sum 16,005,690
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #10003373 ← → #10003417

Radix Representation

Decimal 10003410
Binary 100110001010001111010010 (24 bits)
Octal 0o46121722
Hexadecimal 0x98A3D2

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 111,149 222,298 333,447 555,745 666,894 1,000,341 1,111,490 1,667,235 2,000,682 3,334,470 5,001,705 10,003,410

Collatz Trajectory (313 steps to reach 1)

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

10,003,410 5,001,705 15,005,116 7,502,558 3,751,279 11,253,838 5,626,919 16,880,758 8,440,379 25,321,138 12,660,569 37,981,708 18,990,854 9,495,427 28,486,282 14,243,141 42,729,424 21,364,712 10,682,356 5,341,178 2,670,589 8,011,768 4,005,884 2,002,942 1,001,471 3,004,414 1,502,207 4,506,622 2,253,311 6,759,934 3,379,967 10,139,902 5,069,951 15,209,854 7,604,927 22,814,782 11,407,391 34,222,174 17,111,087 51,333,262 25,666,631 76,999,894 38,499,947 115,499,842 57,749,921 173,249,764 86,624,882 43,312,441 129,937,324 64,968,662 32,484,331 97,452,994 48,726,497 146,179,492 73,089,746 36,544,873 109,634,620 54,817,310 27,408,655 82,225,966

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