λ
Harmonic Matrix

9,528,458

2 × 4764229
Deficient Even Composite

9,528,458 has digital root 5. The neighboring primes are 9528433 and 9528511; its proper-divisor sum differs from the starting integer by -4,764,226.

Prime Factor Structure

Factorization String 2 × 4764229
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 14,292,690
Proper Divisor Sum 4,764,232
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9528433 ← → #9528511

Radix Representation

Decimal 9528458
Binary 100100010110010010001010 (24 bits)
Octal 0o44262212
Hexadecimal 0x91648A

Divisor Catalog (4)

1 2 4,764,229 9,528,458

Collatz Trajectory (150 steps to reach 1)

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

9,528,458 4,764,229 14,292,688 7,146,344 3,573,172 1,786,586 893,293 2,679,880 1,339,940 669,970 334,985 1,004,956 502,478 251,239 753,718 376,859 1,130,578 565,289 1,695,868 847,934 423,967 1,271,902 635,951 1,907,854 953,927 2,861,782 1,430,891 4,292,674 2,146,337 6,439,012 3,219,506 1,609,753 4,829,260 2,414,630 1,207,315 3,621,946 1,810,973 5,432,920 2,716,460 1,358,230 679,115 2,037,346 1,018,673 3,056,020 1,528,010 764,005 2,292,016 1,146,008 573,004 286,502 143,251 429,754 214,877 644,632 322,316 161,158 80,579 241,738 120,869 362,608

More profiles

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