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Atlas › Integer Profiles › Node 7,684,523

7,684,523

72 × 11 × 53 × 269
Deficient Odd Composite

7,684,523 factors as 7^2 × 11 × 53 × 269. Its 24 positive divisors give a proper-divisor sum of 2,288,197, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 53 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,972,720
Proper Divisor Sum 2,288,197
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7684519 ← → #7684529

Radix Representation

Decimal 7684523
Binary 11101010100000110101011 (23 bits)
Octal 0o35240653
Hexadecimal 0x7541AB

Divisor Catalog (24)

1 7 11 49 53 77 269 371 539 583 1,883 2,597 2,959 4,081 13,181 14,257 20,713 28,567 99,799 144,991 156,827 698,593 1,097,789 7,684,523

Collatz Trajectory (248 steps to reach 1)

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

7,684,523 23,053,570 11,526,785 34,580,356 17,290,178 8,645,089 25,935,268 12,967,634 6,483,817 19,451,452 9,725,726 4,862,863 14,588,590 7,294,295 21,882,886 10,941,443 32,824,330 16,412,165 49,236,496 24,618,248 12,309,124 6,154,562 3,077,281 9,231,844 4,615,922 2,307,961 6,923,884 3,461,942 1,730,971 5,192,914 2,596,457 7,789,372 3,894,686 1,947,343 5,842,030 2,921,015 8,763,046 4,381,523 13,144,570 6,572,285 19,716,856 9,858,428 4,929,214 2,464,607 7,393,822 3,696,911 11,090,734 5,545,367 16,636,102 8,318,051 24,954,154 12,477,077 37,431,232 18,715,616 9,357,808 4,678,904 2,339,452 1,169,726 584,863 1,754,590

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