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Atlas › Integer Profiles › Node 67,705,064

67,705,064

23 × 72 × 172717
Abundant Even Composite

67,705,064 factors as 2^3 × 7^2 × 172717. Its 24 positive divisors give a proper-divisor sum of 79,968,826, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 172717
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 147,673,890
Proper Divisor Sum 79,968,826
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #67705049 ← → #67705069

Radix Representation

Decimal 67705064
Binary 100000010010001100011101000 (27 bits)
Octal 0o402214350
Hexadecimal 0x40918E8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 172,717 345,434 690,868 1,209,019 1,381,736 2,418,038 4,836,076 8,463,133 9,672,152 16,926,266 33,852,532 67,705,064

Collatz Trajectory (158 steps to reach 1)

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

67,705,064 33,852,532 16,926,266 8,463,133 25,389,400 12,694,700 6,347,350 3,173,675 9,521,026 4,760,513 14,281,540 7,140,770 3,570,385 10,711,156 5,355,578 2,677,789 8,033,368 4,016,684 2,008,342 1,004,171 3,012,514 1,506,257 4,518,772 2,259,386 1,129,693 3,389,080 1,694,540 847,270 423,635 1,270,906 635,453 1,906,360 953,180 476,590 238,295 714,886 357,443 1,072,330 536,165 1,608,496 804,248 402,124 201,062 100,531 301,594 150,797 452,392 226,196 113,098 56,549 169,648 84,824 42,412 21,206 10,603 31,810 15,905 47,716 23,858 11,929

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