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Atlas › Integer Profiles › Node 2,973,408

2,973,408

25 × 3 × 47 × 659
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 47 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,983,360
Proper Divisor Sum 5,009,952
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2973403 ← → #2973413

Radix Representation

Decimal 2973408
Binary 1011010101111011100000 (22 bits)
Octal 0o13257340
Hexadecimal 0x2D5EE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 659 752 1,128 1,318 1,504 1,977 2,256 2,636 3,954 4,512 5,272 7,908 10,544 15,816 21,088 30,973 31,632 61,946 63,264 92,919 123,892 185,838 247,784 371,676 495,568 743,352 991,136 1,486,704 2,973,408

Collatz Trajectory (182 steps to reach 1)

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

2,973,408 1,486,704 743,352 371,676 185,838 92,919 278,758 139,379 418,138 209,069 627,208 313,604 156,802 78,401 235,204 117,602 58,801 176,404 88,202 44,101 132,304 66,152 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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