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Atlas › Integer Profiles › Node 80,964,168

80,964,168

23 × 3 × 19 × 177553
Abundant Even Composite

80,964,168 factors as 2^3 × 3 × 19 × 177553. Its 32 positive divisors give a proper-divisor sum of 132,100,632, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 177553
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 213,064,800
Proper Divisor Sum 132,100,632
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #80964167 ← → #80964179

Radix Representation

Decimal 80964168
Binary 100110100110110101001001000 (27 bits)
Octal 0o464665110
Hexadecimal 0x4D36A48

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 177,553 355,106 532,659 710,212 1,065,318 1,420,424 2,130,636 3,373,507 4,261,272 6,747,014 10,120,521 13,494,028 20,241,042 26,988,056 40,482,084 80,964,168

Collatz Trajectory (109 steps to reach 1)

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

80,964,168 40,482,084 20,241,042 10,120,521 30,361,564 15,180,782 7,590,391 22,771,174 11,385,587 34,156,762 17,078,381 51,235,144 25,617,572 12,808,786 6,404,393 19,213,180 9,606,590 4,803,295 14,409,886 7,204,943 21,614,830 10,807,415 32,422,246 16,211,123 48,633,370 24,316,685 72,950,056 36,475,028 18,237,514 9,118,757 27,356,272 13,678,136 6,839,068 3,419,534 1,709,767 5,129,302 2,564,651 7,693,954 3,846,977 11,540,932 5,770,466 2,885,233 8,655,700 4,327,850 2,163,925 6,491,776 3,245,888 1,622,944 811,472 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588

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