λ
Harmonic Matrix

5,002,708

22 × 1250677
Deficient Even Composite

5,002,708 has digital root 4. The neighboring primes are 5002691 and 5002721; its proper-divisor sum differs from the starting integer by -1,250,670.

Prime Factor Structure

Factorization String 2^2 × 1250677
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,754,746
Proper Divisor Sum 3,752,038
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5002691 ← → #5002721

Radix Representation

Decimal 5002708
Binary 10011000101010111010100 (23 bits)
Octal 0o23052724
Hexadecimal 0x4C55D4

Divisor Catalog (6)

1 2 4 1,250,677 2,501,354 5,002,708

Collatz Trajectory (175 steps to reach 1)

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

5,002,708 2,501,354 1,250,677 3,752,032 1,876,016 938,008 469,004 234,502 117,251 351,754 175,877 527,632 263,816 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884

More profiles

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