λ
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Atlas › Integer Profiles › Node 67,213,636

67,213,636

22 × 7 × 23 × 104369
Abundant Even Composite

67,213,636 factors as 2^2 × 7 × 23 × 104369. Its 24 positive divisors give a proper-divisor sum of 73,059,644, so this integer is abundant. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 104369
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 140,273,280
Proper Divisor Sum 73,059,644
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #67213609 ← → #67213669

Radix Representation

Decimal 67213636
Binary 100000000011001100101000100 (27 bits)
Octal 0o400314504
Hexadecimal 0x4019944

Divisor Catalog (24)

1 2 4 7 14 23 28 46 92 161 322 644 104,369 208,738 417,476 730,583 1,461,166 2,400,487 2,922,332 4,800,974 9,601,948 16,803,409 33,606,818 67,213,636

Collatz Trajectory (233 steps to reach 1)

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

67,213,636 33,606,818 16,803,409 50,410,228 25,205,114 12,602,557 37,807,672 18,903,836 9,451,918 4,725,959 14,177,878 7,088,939 21,266,818 10,633,409 31,900,228 15,950,114 7,975,057 23,925,172 11,962,586 5,981,293 17,943,880 8,971,940 4,485,970 2,242,985 6,728,956 3,364,478 1,682,239 5,046,718 2,523,359 7,570,078 3,785,039 11,355,118 5,677,559 17,032,678 8,516,339 25,549,018 12,774,509 38,323,528 19,161,764 9,580,882 4,790,441 14,371,324 7,185,662 3,592,831 10,778,494 5,389,247 16,167,742 8,083,871 24,251,614 12,125,807 36,377,422 18,188,711 54,566,134 27,283,067 81,849,202 40,924,601 122,773,804 61,386,902 30,693,451 92,080,354

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