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Atlas › Integer Profiles › Node 4,129,384

4,129,384

23 × 7 × 19 × 3881
Abundant Even Composite

4,129,384 factors as 2^3 × 7 × 19 × 3881. Its 32 positive divisors give a proper-divisor sum of 5,187,416, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 3881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,316,800
Proper Divisor Sum 5,187,416
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4129381 ← → #4129393

Radix Representation

Decimal 4129384
Binary 1111110000001001101000 (22 bits)
Octal 0o17601150
Hexadecimal 0x3F0268

Divisor Catalog (32)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1,064 3,881 7,762 15,524 27,167 31,048 54,334 73,739 108,668 147,478 217,336 294,956 516,173 589,912 1,032,346 2,064,692 4,129,384

Collatz Trajectory (185 steps to reach 1)

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

4,129,384 2,064,692 1,032,346 516,173 1,548,520 774,260 387,130 193,565 580,696 290,348 145,174 72,587 217,762 108,881 326,644 163,322 81,661 244,984 122,492 61,246 30,623 91,870 45,935 137,806 68,903 206,710 103,355 310,066 155,033 465,100 232,550 116,275 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731 26,194

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