λ
Harmonic Matrix

4,471,970

2 × 5 × 447197
Deficient Even Composite

4,471,970 has digital root 5. The neighboring primes are 4471949 and 4471979; its proper-divisor sum differs from the starting integer by -894,376.

Prime Factor Structure

Factorization String 2 × 5 × 447197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,049,564
Proper Divisor Sum 3,577,594
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4471949 ← → #4471979

Radix Representation

Decimal 4471970
Binary 10001000011110010100010 (23 bits)
Octal 0o21036242
Hexadecimal 0x443CA2

Divisor Catalog (8)

1 2 5 10 447,197 894,394 2,235,985 4,471,970

Collatz Trajectory (118 steps to reach 1)

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

4,471,970 2,235,985 6,707,956 3,353,978 1,676,989 5,030,968 2,515,484 1,257,742 628,871 1,886,614 943,307 2,829,922 1,414,961 4,244,884 2,122,442 1,061,221 3,183,664 1,591,832 795,916 397,958 198,979 596,938 298,469 895,408 447,704 223,852 111,926 55,963 167,890 83,945 251,836 125,918 62,959 188,878 94,439 283,318 141,659 424,978 212,489 637,468 318,734 159,367 478,102 239,051 717,154 358,577 1,075,732 537,866 268,933 806,800 403,400 201,700 100,850 50,425 151,276 75,638 37,819 113,458 56,729 170,188

More profiles

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