λ
Harmonic Matrix

9,432,352

25 × 294761
Deficient Even Composite

9,432,352 has digital root 1. The neighboring primes are 9432347 and 9432361; its proper-divisor sum differs from the starting integer by -294,698.

Prime Factor Structure

Factorization String 2^5 × 294761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,570,006
Proper Divisor Sum 9,137,654
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9432347 ← → #9432361

Radix Representation

Decimal 9432352
Binary 100011111110110100100000 (24 bits)
Octal 0o43766440
Hexadecimal 0x8FED20

Divisor Catalog (12)

1 2 4 8 16 32 294,761 589,522 1,179,044 2,358,088 4,716,176 9,432,352

Collatz Trajectory (194 steps to reach 1)

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

9,432,352 4,716,176 2,358,088 1,179,044 589,522 294,761 884,284 442,142 221,071 663,214 331,607 994,822 497,411 1,492,234 746,117 2,238,352 1,119,176 559,588 279,794 139,897 419,692 209,846 104,923 314,770 157,385 472,156 236,078 118,039 354,118 177,059 531,178 265,589 796,768 398,384 199,192 99,596 49,798 24,899 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973

More profiles

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