67,524,380

2² × 5 × 7 × 11 × 163 × 269

67,524,380 factors as 2^2 × 5 × 7 × 11 × 163 × 269. Its 96 positive divisors give a proper-divisor sum of 111,012,580, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 163 × 269

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 178,536,960

Proper Divisor Sum 111,012,580

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #67524367 ← → #67524397

Radix Representation

Decimal	67524380
Binary	100000001100101011100011100 (27 bits)
Octal	0o401453434
Hexadecimal	0x406571C

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 163 220 269 308 326 385 538 652 770 815 1,076 1,141 1,345 1,540 1,630 1,793 1,883 2,282 2,690 2,959 3,260 3,586 3,766 4,564 5,380 5,705 5,918 7,172 7,532 8,965 9,415 11,410 11,836 12,551 14,795 17,930 18,830 20,713 22,820 25,102 29,590

Collatz Trajectory (109 steps to reach 1)

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

67,524,380 33,762,190 16,881,095 50,643,286 25,321,643 75,964,930 37,982,465 113,947,396 56,973,698 28,486,849 85,460,548 42,730,274 21,365,137 64,095,412 32,047,706 16,023,853 48,071,560 24,035,780 12,017,890 6,008,945 18,026,836 9,013,418 4,506,709 13,520,128 6,760,064 3,380,032 1,690,016 845,008 422,504 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906

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