λ
Prime Ledger

5,870,004

22 × 3 × 72 × 67 × 149
Abundant Even Composite

5,870,004 has the prime decomposition 2^2 × 3 × 7^2 × 67 × 149. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 67 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 16,279,200
Proper Divisor Sum 10,409,196
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5869999 ← → #5870017

Radix Representation

Decimal 5870004
Binary 10110011001000110110100 (23 bits)
Octal 0o26310664
Hexadecimal 0x5991B4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 149 196 201 268 294 298 402 447 469 588 596 804 894 938 1,043 1,407 1,788 1,876 2,086 2,814 3,129 3,283 4,172 5,628 6,258 6,566 7,301 9,849 9,983 12,516 13,132 14,602 19,698 19,966 21,903 29,204 29,949 39,396 39,932 43,806 59,898 69,881 87,612

Collatz Trajectory (245 steps to reach 1)

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

5,870,004 2,935,002 1,467,501 4,402,504 2,201,252 1,100,626 550,313 1,650,940 825,470 412,735 1,238,206 619,103 1,857,310 928,655 2,785,966 1,392,983 4,178,950 2,089,475 6,268,426 3,134,213 9,402,640 4,701,320 2,350,660 1,175,330 587,665 1,762,996 881,498 440,749 1,322,248 661,124 330,562 165,281 495,844 247,922 123,961 371,884 185,942 92,971 278,914 139,457 418,372 209,186 104,593 313,780 156,890 78,445 235,336 117,668 58,834 29,417 88,252 44,126 22,063 66,190 33,095 99,286 49,643 148,930 74,465 223,396

More profiles

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