λ
Harmonic Matrix

9,523,652

22 × 37 × 229 × 281
Deficient Even Composite

9,523,652 has digital root 5. The neighboring primes are 9523643 and 9523673; its proper-divisor sum differs from the starting integer by -1,794,544.

Prime Factor Structure

Factorization String 2^2 × 37 × 229 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,252,760
Proper Divisor Sum 7,729,108
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9523643 ← → #9523673

Radix Representation

Decimal 9523652
Binary 100100010101000111000100 (24 bits)
Octal 0o44250704
Hexadecimal 0x9151C4

Divisor Catalog (24)

1 2 4 37 74 148 229 281 458 562 916 1,124 8,473 10,397 16,946 20,794 33,892 41,588 64,349 128,698 257,396 2,380,913 4,761,826 9,523,652

Collatz Trajectory (145 steps to reach 1)

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

9,523,652 4,761,826 2,380,913 7,142,740 3,571,370 1,785,685 5,357,056 2,678,528 1,339,264 669,632 334,816 167,408 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679

More profiles

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