λ
Harmonic Matrix

9,548,930

2 × 5 × 31 × 30803
Deficient Even Composite

9,548,930 has digital root 2. The neighboring primes are 9548927 and 9548947; its proper-divisor sum differs from the starting integer by -1,354,756.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 30803
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,743,104
Proper Divisor Sum 8,194,174
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9548927 ← → #9548947

Radix Representation

Decimal 9548930
Binary 100100011011010010000010 (24 bits)
Octal 0o44332202
Hexadecimal 0x91B482

Divisor Catalog (16)

1 2 5 10 31 62 155 310 30,803 61,606 154,015 308,030 954,893 1,909,786 4,774,465 9,548,930

Collatz Trajectory (101 steps to reach 1)

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

9,548,930 4,774,465 14,323,396 7,161,698 3,580,849 10,742,548 5,371,274 2,685,637 8,056,912 4,028,456 2,014,228 1,007,114 503,557 1,510,672 755,336 377,668 188,834 94,417 283,252 141,626 70,813 212,440 106,220 53,110 26,555 79,666 39,833 119,500 59,750 29,875 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281

More profiles

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