67,984,420

2² × 5 × 7 × 485603

67,984,420 factors as 2^2 × 5 × 7 × 485603. Its 24 positive divisors give a proper-divisor sum of 95,178,524, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 485603

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 163,162,944

Proper Divisor Sum 95,178,524

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #67984393 ← → #67984463

Radix Representation

Decimal	67984420
Binary	100000011010101110000100100 (27 bits)
Octal	0o403256044
Hexadecimal	0x40D5C24

Divisor Catalog (24)

Collatz Trajectory (202 steps to reach 1)

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

67,984,420 33,992,210 16,996,105 50,988,316 25,494,158 12,747,079 38,241,238 19,120,619 57,361,858 28,680,929 86,042,788 43,021,394 21,510,697 64,532,092 32,266,046 16,133,023 48,399,070 24,199,535 72,598,606 36,299,303 108,897,910 54,448,955 163,346,866 81,673,433 245,020,300 122,510,150 61,255,075 183,765,226 91,882,613 275,647,840 137,823,920 68,911,960 34,455,980 17,227,990 8,613,995 25,841,986 12,920,993 38,762,980 19,381,490 9,690,745 29,072,236 14,536,118 7,268,059 21,804,178 10,902,089 32,706,268 16,353,134 8,176,567 24,529,702 12,264,851 36,794,554 18,397,277 55,191,832 27,595,916 13,797,958 6,898,979 20,696,938 10,348,469 31,045,408 15,522,704

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