λ
Sigma Notebook

9,374,004

22 × 32 × 173 × 53
Abundant Even Composite

9,374,004 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 17^3 × 53 and its 72 divisors sum to 25,651,080.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17^3 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 25,651,080
Proper Divisor Sum 16,277,076
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9373993 ← → #9374023

Radix Representation

Decimal 9374004
Binary 100011110000100100110100 (24 bits)
Octal 0o43604464
Hexadecimal 0x8F0934

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 289 306 318 477 578 612 636 867 901 954 1,156 1,734 1,802 1,908 2,601 2,703 3,468 3,604 4,913 5,202 5,406 8,109 9,826 10,404 10,812 14,739 15,317 16,218 19,652 29,478 30,634 32,436 44,217 45,951 58,956 61,268 88,434 91,902 137,853 176,868

Collatz Trajectory (194 steps to reach 1)

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

9,374,004 4,687,002 2,343,501 7,030,504 3,515,252 1,757,626 878,813 2,636,440 1,318,220 659,110 329,555 988,666 494,333 1,483,000 741,500 370,750 185,375 556,126 278,063 834,190 417,095 1,251,286 625,643 1,876,930 938,465 2,815,396 1,407,698 703,849 2,111,548 1,055,774 527,887 1,583,662 791,831 2,375,494 1,187,747 3,563,242 1,781,621 5,344,864 2,672,432 1,336,216 668,108 334,054 167,027 501,082 250,541 751,624 375,812 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456

More profiles

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