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Atlas › Integer Profiles › Node 10,257,597

10,257,597

34 × 7 × 79 × 229
Deficient Odd Composite

10,257,597 factors as 3^4 × 7 × 79 × 229. Its 40 positive divisors give a proper-divisor sum of 7,553,603, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 79 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,811,200
Proper Divisor Sum 7,553,603
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10257589 ← → #10257623

Radix Representation

Decimal 10257597
Binary 100111001000010010111101 (24 bits)
Octal 0o47102275
Hexadecimal 0x9C84BD

Divisor Catalog (40)

1 3 7 9 21 27 63 79 81 189 229 237 553 567 687 711 1,603 1,659 2,061 2,133 4,809 4,977 6,183 6,399 14,427 14,931 18,091 18,549 43,281 44,793 54,273 126,637 129,843 162,819 379,911 488,457 1,139,733 1,465,371 3,419,199 10,257,597

Collatz Trajectory (83 steps to reach 1)

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

10,257,597 30,772,792 15,386,396 7,693,198 3,846,599 11,539,798 5,769,899 17,309,698 8,654,849 25,964,548 12,982,274 6,491,137 19,473,412 9,736,706 4,868,353 14,605,060 7,302,530 3,651,265 10,953,796 5,476,898 2,738,449 8,215,348 4,107,674 2,053,837 6,161,512 3,080,756 1,540,378 770,189 2,310,568 1,155,284 577,642 288,821 866,464 433,232 216,616 108,308 54,154 27,077 81,232 40,616 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304

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