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Atlas › Integer Profiles › Node 9,728,656

9,728,656

24 × 72 × 12409
Abundant Even Composite

9,728,656 factors as 2^4 × 7^2 × 12409. Its 30 positive divisors give a proper-divisor sum of 12,199,814, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 12409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 21,928,470
Proper Divisor Sum 12,199,814
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9728651 ← → #9728681

Radix Representation

Decimal 9728656
Binary 100101000111001010010000 (24 bits)
Octal 0o45071220
Hexadecimal 0x947290

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 12,409 24,818 49,636 86,863 99,272 173,726 198,544 347,452 608,041 694,904 1,216,082 1,389,808 2,432,164 4,864,328 9,728,656

Collatz Trajectory (62 steps to reach 1)

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

9,728,656 4,864,328 2,432,164 1,216,082 608,041 1,824,124 912,062 456,031 1,368,094 684,047 2,052,142 1,026,071 3,078,214 1,539,107 4,617,322 2,308,661 6,925,984 3,462,992 1,731,496 865,748 432,874 216,437 649,312 324,656 162,328 81,164 40,582 20,291 60,874 30,437 91,312 45,656 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

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