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Atlas › Integer Profiles › Node 4,429,908

4,429,908

22 × 32 × 7 × 17579
Abundant Even Composite

4,429,908 factors as 2^2 × 3^2 × 7 × 17579. Its 36 positive divisors give a proper-divisor sum of 8,368,332, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,798,240
Proper Divisor Sum 8,368,332
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4429883 ← → #4429933

Radix Representation

Decimal 4429908
Binary 10000111001100001010100 (23 bits)
Octal 0o20714124
Hexadecimal 0x439854

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 17,579 35,158 52,737 70,316 105,474 123,053 158,211 210,948 246,106 316,422 369,159 492,212 632,844 738,318 1,107,477 1,476,636 2,214,954 4,429,908

Collatz Trajectory (61 steps to reach 1)

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

4,429,908 2,214,954 1,107,477 3,322,432 1,661,216 830,608 415,304 207,652 103,826 51,913 155,740 77,870 38,935 116,806 58,403 175,210 87,605 262,816 131,408 65,704 32,852 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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