λ
Harmonic Matrix

4,474,508

22 × 373 × 2999
Deficient Even Composite

4,474,508 has digital root 5. The neighboring primes are 4474493 and 4474511; its proper-divisor sum differs from the starting integer by -1,095,016.

Prime Factor Structure

Factorization String 2^2 × 373 × 2999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,854,000
Proper Divisor Sum 3,379,492
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4474493 ← → #4474511

Radix Representation

Decimal 4474508
Binary 10001000100011010001100 (23 bits)
Octal 0o21043214
Hexadecimal 0x44468C

Divisor Catalog (12)

1 2 4 373 746 1,492 2,999 5,998 11,996 1,118,627 2,237,254 4,474,508

Collatz Trajectory (118 steps to reach 1)

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

4,474,508 2,237,254 1,118,627 3,355,882 1,677,941 5,033,824 2,516,912 1,258,456 629,228 314,614 157,307 471,922 235,961 707,884 353,942 176,971 530,914 265,457 796,372 398,186 199,093 597,280 298,640 149,320 74,660 37,330 18,665 55,996 27,998 13,999 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314

More profiles

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