λ
Harmonic Matrix

9,564,355

5 × 251 × 7621
Deficient Odd Composite

9,564,355 has digital root 1. The neighboring primes are 9564349 and 9564371; its proper-divisor sum differs from the starting integer by -7,604,246.

Prime Factor Structure

Factorization String 5 × 251 × 7621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,524,464
Proper Divisor Sum 1,960,109
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9564349 ← → #9564371

Radix Representation

Decimal 9564355
Binary 100100011111000011000011 (24 bits)
Octal 0o44370303
Hexadecimal 0x91F0C3

Divisor Catalog (8)

1 5 251 1,255 7,621 38,105 1,912,871 9,564,355

Collatz Trajectory (119 steps to reach 1)

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

9,564,355 28,693,066 14,346,533 43,039,600 21,519,800 10,759,900 5,379,950 2,689,975 8,069,926 4,034,963 12,104,890 6,052,445 18,157,336 9,078,668 4,539,334 2,269,667 6,809,002 3,404,501 10,213,504 5,106,752 2,553,376 1,276,688 638,344 319,172 159,586 79,793 239,380 119,690 59,845 179,536 89,768 44,884 22,442 11,221 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

More profiles

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