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Atlas › Integer Profiles › Node 4,177,908

4,177,908

22 × 32 × 7 × 59 × 281
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 59 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,317,760
Proper Divisor Sum 8,139,852
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4177907 ← → #4177909

Radix Representation

Decimal 4177908
Binary 1111111011111111110100 (22 bits)
Octal 0o17737764
Hexadecimal 0x3FBFF4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 281 354 413 531 562 708 826 843 1,062 1,124 1,239 1,652 1,686 1,967 2,124 2,478 2,529 3,372 3,717 3,934 4,956 5,058 5,901 7,434 7,868 10,116 11,802 14,868 16,579 17,703 23,604 33,158 35,406 49,737 66,316 70,812 99,474 116,053

Collatz Trajectory (180 steps to reach 1)

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

4,177,908 2,088,954 1,044,477 3,133,432 1,566,716 783,358 391,679 1,175,038 587,519 1,762,558 881,279 2,643,838 1,321,919 3,965,758 1,982,879 5,948,638 2,974,319 8,922,958 4,461,479 13,384,438 6,692,219 20,076,658 10,038,329 30,114,988 15,057,494 7,528,747 22,586,242 11,293,121 33,879,364 16,939,682 8,469,841 25,409,524 12,704,762 6,352,381 19,057,144 9,528,572 4,764,286 2,382,143 7,146,430 3,573,215 10,719,646 5,359,823 16,079,470 8,039,735 24,119,206 12,059,603 36,178,810 18,089,405 54,268,216 27,134,108 13,567,054 6,783,527 20,350,582 10,175,291 30,525,874 15,262,937 45,788,812 22,894,406 11,447,203 34,341,610

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