λ
Harmonic Matrix

852,352

27 × 6659
Deficient Even Composite

852,352 has digital root 7. The neighboring primes are 852347 and 852367; its proper-divisor sum differs from the starting integer by -6,404.

Prime Factor Structure

Factorization String 2^7 × 6659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,698,300
Proper Divisor Sum 845,948
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #852347 ← → #852367

Radix Representation

Decimal 852352
Binary 11010000000110000000 (20 bits)
Octal 0o3200600
Hexadecimal 0xD0180

Divisor Catalog (16)

1 2 4 8 16 32 64 128 6,659 13,318 26,636 53,272 106,544 213,088 426,176 852,352

Collatz Trajectory (100 steps to reach 1)

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

852,352 426,176 213,088 106,544 53,272 26,636 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

More profiles

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