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Atlas › Integer Profiles › Node 87,697,224

87,697,224

23 × 32 × 1218017
Abundant Even Composite

87,697,224 factors as 2^3 × 3^2 × 1218017. Its 24 positive divisors give a proper-divisor sum of 149,816,286, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 1218017
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 237,513,510
Proper Divisor Sum 149,816,286
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #87697223 ← → #87697231

Radix Representation

Decimal 87697224
Binary 101001110100010011101001000 (27 bits)
Octal 0o516423510
Hexadecimal 0x53A2748

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 1,218,017 2,436,034 3,654,051 4,872,068 7,308,102 9,744,136 10,962,153 14,616,204 21,924,306 29,232,408 43,848,612 87,697,224

Collatz Trajectory (192 steps to reach 1)

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

87,697,224 43,848,612 21,924,306 10,962,153 32,886,460 16,443,230 8,221,615 24,664,846 12,332,423 36,997,270 18,498,635 55,495,906 27,747,953 83,243,860 41,621,930 20,810,965 62,432,896 31,216,448 15,608,224 7,804,112 3,902,056 1,951,028 975,514 487,757 1,463,272 731,636 365,818 182,909 548,728 274,364 137,182 68,591 205,774 102,887 308,662 154,331 462,994 231,497 694,492 347,246 173,623 520,870 260,435 781,306 390,653 1,171,960 585,980 292,990 146,495 439,486 219,743 659,230 329,615 988,846 494,423 1,483,270 741,635 2,224,906 1,112,453 3,337,360

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