λ
Harmonic Matrix

9,356,344

23 × 127 × 9209
Deficient Even Composite

9,356,344 has digital root 7. The neighboring primes are 9356317 and 9356351; its proper-divisor sum differs from the starting integer by -1,029,488.

Prime Factor Structure

Factorization String 2^3 × 127 × 9209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,683,200
Proper Divisor Sum 8,326,856
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9356317 ← → #9356351

Radix Representation

Decimal 9356344
Binary 100011101100010000111000 (24 bits)
Octal 0o43542070
Hexadecimal 0x8EC438

Divisor Catalog (16)

1 2 4 8 127 254 508 1,016 9,209 18,418 36,836 73,672 1,169,543 2,339,086 4,678,172 9,356,344

Collatz Trajectory (163 steps to reach 1)

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

9,356,344 4,678,172 2,339,086 1,169,543 3,508,630 1,754,315 5,262,946 2,631,473 7,894,420 3,947,210 1,973,605 5,920,816 2,960,408 1,480,204 740,102 370,051 1,110,154 555,077 1,665,232 832,616 416,308 208,154 104,077 312,232 156,116 78,058 39,029 117,088 58,544 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47

More profiles

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