λ
Harmonic Matrix

4,224,625

53 × 33797
Deficient Odd Composite

4,224,625 has digital root 7. The neighboring primes are 4224613 and 4224629; its proper-divisor sum differs from the starting integer by -3,176,762.

Prime Factor Structure

Factorization String 5^3 × 33797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,272,488
Proper Divisor Sum 1,047,863
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4224613 ← → #4224629

Radix Representation

Decimal 4224625
Binary 10000000111011001110001 (23 bits)
Octal 0o20073161
Hexadecimal 0x407671

Divisor Catalog (8)

1 5 25 125 33,797 168,985 844,925 4,224,625

Collatz Trajectory (74 steps to reach 1)

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

4,224,625 12,673,876 6,336,938 3,168,469 9,505,408 4,752,704 2,376,352 1,188,176 594,088 297,044 148,522 74,261 222,784 111,392 55,696 27,848 13,924 6,962 3,481 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22

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