λ
Harmonic Matrix

9,745,132

22 × 107 × 22769
Deficient Even Composite

9,745,132 has digital root 4. The neighboring primes are 9745117 and 9745181; its proper-divisor sum differs from the starting integer by -2,276,144.

Prime Factor Structure

Factorization String 2^2 × 107 × 22769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,214,120
Proper Divisor Sum 7,468,988
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9745117 ← → #9745181

Radix Representation

Decimal 9745132
Binary 100101001011001011101100 (24 bits)
Octal 0o45131354
Hexadecimal 0x94B2EC

Divisor Catalog (12)

1 2 4 107 214 428 22,769 45,538 91,076 2,436,283 4,872,566 9,745,132

Collatz Trajectory (163 steps to reach 1)

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

9,745,132 4,872,566 2,436,283 7,308,850 3,654,425 10,963,276 5,481,638 2,740,819 8,222,458 4,111,229 12,333,688 6,166,844 3,083,422 1,541,711 4,625,134 2,312,567 6,937,702 3,468,851 10,406,554 5,203,277 15,609,832 7,804,916 3,902,458 1,951,229 5,853,688 2,926,844 1,463,422 731,711 2,195,134 1,097,567 3,292,702 1,646,351 4,939,054 2,469,527 7,408,582 3,704,291 11,112,874 5,556,437 16,669,312 8,334,656 4,167,328 2,083,664 1,041,832 520,916 260,458 130,229 390,688 195,344 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717

More profiles

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