74,743,732

2² × 7 × 2669419

74,743,732 factors as 2^2 × 7 × 2669419. Its 12 positive divisors give a proper-divisor sum of 74,743,788, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 2669419

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 149,487,520

Proper Divisor Sum 74,743,788

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #74743729 ← → #74743733

Radix Representation

Decimal	74743732
Binary	100011101000111111110110100 (27 bits)
Octal	0o435077664
Hexadecimal	0x4747FB4

Divisor Catalog (12)

1 2 4 7 14 28 2,669,419 5,338,838 10,677,676 18,685,933 37,371,866 74,743,732

Collatz Trajectory (272 steps to reach 1)

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

74,743,732 37,371,866 18,685,933 56,057,800 28,028,900 14,014,450 7,007,225 21,021,676 10,510,838 5,255,419 15,766,258 7,883,129 23,649,388 11,824,694 5,912,347 17,737,042 8,868,521 26,605,564 13,302,782 6,651,391 19,954,174 9,977,087 29,931,262 14,965,631 44,896,894 22,448,447 67,345,342 33,672,671 101,018,014 50,509,007 151,527,022 75,763,511 227,290,534 113,645,267 340,935,802 170,467,901 511,403,704 255,701,852 127,850,926 63,925,463 191,776,390 95,888,195 287,664,586 143,832,293 431,496,880 215,748,440 107,874,220 53,937,110 26,968,555 80,905,666 40,452,833 121,358,500 60,679,250 30,339,625 91,018,876 45,509,438 22,754,719 68,264,158 34,132,079 102,396,238

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