λ
Harmonic Matrix

9,456,102

2 × 35 × 19457
Abundant Even Composite

9,456,102 has digital root 9. The neighboring primes are 9456067 and 9456103; its proper-divisor sum differs from the starting integer by 2,335,932.

Prime Factor Structure

Factorization String 2 × 3^5 × 19457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,248,136
Proper Divisor Sum 11,792,034
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9456067 ← → #9456103

Radix Representation

Decimal 9456102
Binary 100100000100100111100110 (24 bits)
Octal 0o44044746
Hexadecimal 0x9049E6

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 19,457 38,914 58,371 116,742 175,113 350,226 525,339 1,050,678 1,576,017 3,152,034 4,728,051 9,456,102

Collatz Trajectory (101 steps to reach 1)

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

9,456,102 4,728,051 14,184,154 7,092,077 21,276,232 10,638,116 5,319,058 2,659,529 7,978,588 3,989,294 1,994,647 5,983,942 2,991,971 8,975,914 4,487,957 13,463,872 6,731,936 3,365,968 1,682,984 841,492 420,746 210,373 631,120 315,560 157,780 78,890 39,445 118,336 59,168 29,584 14,792 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672

More profiles

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