λ
Harmonic Matrix

5,008,602

2 × 3 × 47 × 17761
Abundant Even Composite

5,008,602 has digital root 3. The neighboring primes are 5008573 and 5008607; its proper-divisor sum differs from the starting integer by 213,708.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 17761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,230,912
Proper Divisor Sum 5,222,310
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5008573 ← → #5008607

Radix Representation

Decimal 5008602
Binary 10011000110110011011010 (23 bits)
Octal 0o23066332
Hexadecimal 0x4C6CDA

Divisor Catalog (16)

1 2 3 6 47 94 141 282 17,761 35,522 53,283 106,566 834,767 1,669,534 2,504,301 5,008,602

Collatz Trajectory (87 steps to reach 1)

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

5,008,602 2,504,301 7,512,904 3,756,452 1,878,226 939,113 2,817,340 1,408,670 704,335 2,113,006 1,056,503 3,169,510 1,584,755 4,754,266 2,377,133 7,131,400 3,565,700 1,782,850 891,425 2,674,276 1,337,138 668,569 2,005,708 1,002,854 501,427 1,504,282 752,141 2,256,424 1,128,212 564,106 282,053 846,160 423,080 211,540 105,770 52,885 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883

More profiles

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