λ
Ratio Atlas

10,246,313

7 × 11 × 133069
Deficient Odd Composite

10,246,313 factors as 7 × 11 × 133069. Its 8 positive divisors give a proper-divisor sum of 2,528,407, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 7 × 11 × 133069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,774,720
Proper Divisor Sum 2,528,407
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #10246297 ← → #10246319

Radix Representation

Decimal 10246313
Binary 100111000101100010101001 (24 bits)
Octal 0o47054251
Hexadecimal 0x9C58A9

Divisor Catalog (8)

Collatz Trajectory (212 steps to reach 1)

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

10,246,313 30,738,940 15,369,470 7,684,735 23,054,206 11,527,103 34,581,310 17,290,655 51,871,966 25,935,983 77,807,950 38,903,975 116,711,926 58,355,963 175,067,890 87,533,945 262,601,836 131,300,918 65,650,459 196,951,378 98,475,689 295,427,068 147,713,534 73,856,767 221,570,302 110,785,151 332,355,454 166,177,727 498,533,182 249,266,591 747,799,774 373,899,887 1,121,699,662 560,849,831 1,682,549,494 841,274,747 2,523,824,242 1,261,912,121 3,785,736,364 1,892,868,182 946,434,091 2,839,302,274 1,419,651,137 4,258,953,412 2,129,476,706 1,064,738,353 3,194,215,060 1,597,107,530 798,553,765 2,395,661,296 1,197,830,648 598,915,324 299,457,662 149,728,831 449,186,494 224,593,247 673,779,742 336,889,871 1,010,669,614 505,334,807

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