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Atlas › Integer Profiles › Node 3,911,568

3,911,568

24 × 3 × 19 × 4289
Abundant Even Composite

3,911,568 factors as 2^4 × 3 × 19 × 4289. Its 40 positive divisors give a proper-divisor sum of 6,727,632, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 4289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,639,200
Proper Divisor Sum 6,727,632
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3911563 ← → #3911573

Radix Representation

Decimal 3911568
Binary 1110111010111110010000 (22 bits)
Octal 0o16727620
Hexadecimal 0x3BAF90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 4,289 8,578 12,867 17,156 25,734 34,312 51,468 68,624 81,491 102,936 162,982 205,872 244,473 325,964 488,946 651,928 977,892 1,303,856 1,955,784 3,911,568

Collatz Trajectory (154 steps to reach 1)

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

3,911,568 1,955,784 977,892 488,946 244,473 733,420 366,710 183,355 550,066 275,033 825,100 412,550 206,275 618,826 309,413 928,240 464,120 232,060 116,030 58,015 174,046 87,023 261,070 130,535 391,606 195,803 587,410 293,705 881,116 440,558 220,279 660,838 330,419 991,258 495,629 1,486,888 743,444 371,722 185,861 557,584 278,792 139,396 69,698 34,849 104,548 52,274 26,137 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812

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