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Atlas › Integer Profiles › Node 3,929,130

3,929,130

2 × 32 × 5 × 149 × 293
Abundant Even Composite

3,929,130 factors as 2 × 3^2 × 5 × 149 × 293. Its 48 positive divisors give a proper-divisor sum of 6,390,270, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 149 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,319,400
Proper Divisor Sum 6,390,270
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3929129 ← → #3929131

Radix Representation

Decimal 3929130
Binary 1110111111010000101010 (22 bits)
Octal 0o16772052
Hexadecimal 0x3BF42A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 149 293 298 447 586 745 879 894 1,341 1,465 1,490 1,758 2,235 2,637 2,682 2,930 4,395 4,470 5,274 6,705 8,790 13,185 13,410 26,370 43,657 87,314 130,971 218,285 261,942 392,913 436,570 654,855 785,826 1,309,710 1,964,565 3,929,130

Collatz Trajectory (79 steps to reach 1)

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

3,929,130 1,964,565 5,893,696 2,946,848 1,473,424 736,712 368,356 184,178 92,089 276,268 138,134 69,067 207,202 103,601 310,804 155,402 77,701 233,104 116,552 58,276 29,138 14,569 43,708 21,854 10,927 32,782 16,391 49,174 24,587 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116

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