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Atlas › Integer Profiles › Node 69,080,724

69,080,724

22 × 32 × 17 × 112877
Abundant Even Composite

69,080,724 factors as 2^2 × 3^2 × 17 × 112877. Its 36 positive divisors give a proper-divisor sum of 115,813,440, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 112877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 184,894,164
Proper Divisor Sum 115,813,440
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #69080723 ← → #69080729

Radix Representation

Decimal 69080724
Binary 100000111100001011010010100 (27 bits)
Octal 0o407413224
Hexadecimal 0x41E1694

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 112,877 225,754 338,631 451,508 677,262 1,015,893 1,354,524 1,918,909 2,031,786 3,837,818 4,063,572 5,756,727 7,675,636 11,513,454 17,270,181 23,026,908 34,540,362 69,080,724

Collatz Trajectory (171 steps to reach 1)

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

69,080,724 34,540,362 17,270,181 51,810,544 25,905,272 12,952,636 6,476,318 3,238,159 9,714,478 4,857,239 14,571,718 7,285,859 21,857,578 10,928,789 32,786,368 16,393,184 8,196,592 4,098,296 2,049,148 1,024,574 512,287 1,536,862 768,431 2,305,294 1,152,647 3,457,942 1,728,971 5,186,914 2,593,457 7,780,372 3,890,186 1,945,093 5,835,280 2,917,640 1,458,820 729,410 364,705 1,094,116 547,058 273,529 820,588 410,294 205,147 615,442 307,721 923,164 461,582 230,791 692,374 346,187 1,038,562 519,281 1,557,844 778,922 389,461 1,168,384 584,192 292,096 146,048 73,024

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