λ
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10,071,568

24 × 13 × 41 × 1181
Abundant Even Composite

10,071,568 factors as 2^4 × 13 × 41 × 1181. Its 40 positive divisors give a proper-divisor sum of 11,473,928, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 41 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,545,496
Proper Divisor Sum 11,473,928
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10071553 ← → #10071571

Radix Representation

Decimal 10071568
Binary 100110011010111000010000 (24 bits)
Octal 0o46327020
Hexadecimal 0x99AE10

Divisor Catalog (40)

1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1,066 1,181 2,132 2,362 4,264 4,724 8,528 9,448 15,353 18,896 30,706 48,421 61,412 96,842 122,824 193,684 245,648 387,368 629,473 774,736 1,258,946 2,517,892 5,035,784 10,071,568

Collatz Trajectory (57 steps to reach 1)

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

10,071,568 5,035,784 2,517,892 1,258,946 629,473 1,888,420 944,210 472,105 1,416,316 708,158 354,079 1,062,238 531,119 1,593,358 796,679 2,390,038 1,195,019 3,585,058 1,792,529 5,377,588 2,688,794 1,344,397 4,033,192 2,016,596 1,008,298 504,149 1,512,448 756,224 378,112 189,056 94,528 47,264 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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